{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Objective\n",
    "* 20181230: \n",
    "    * Predict stock price in next day using simple moving average\n",
    "    * Given prices for the last N days, we do prediction for day N+1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import math\n",
    "import matplotlib\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import seaborn as sns\n",
    "import time\n",
    "\n",
    "from datetime import date, datetime, time, timedelta\n",
    "from matplotlib import pyplot as plt\n",
    "from pylab import rcParams\n",
    "from sklearn.linear_model import LinearRegression\n",
    "from sklearn.metrics import mean_squared_error\n",
    "from tqdm import tqdm_notebook\n",
    "\n",
    "%matplotlib inline\n",
    "\n",
    "#### Input params ##################\n",
    "stk_path = \"./data/VTI.csv\"\n",
    "test_size = 0.2                 # proportion of dataset to be used as test set\n",
    "cv_size = 0.2                   # proportion of dataset to be used as cross-validation set\n",
    "Nmax = 21                       # for feature at day t, we use lags from t-1, t-2, ..., t-N as features\n",
    "                                # Nmax is the maximum N we are going to test\n",
    "fontsize = 14\n",
    "ticklabelsize = 14\n",
    "####################################"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Common functions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def get_preds_mov_avg(df, target_col, N, pred_min, offset):\n",
    "    \"\"\"\n",
    "    Given a dataframe, get prediction at timestep t using values from t-1, t-2, ..., t-N.\n",
    "    Using simple moving average.\n",
    "    Inputs\n",
    "        df         : dataframe with the values you want to predict. Can be of any length.\n",
    "        target_col : name of the column you want to predict e.g. 'adj_close'\n",
    "        N          : get prediction at timestep t using values from t-1, t-2, ..., t-N\n",
    "        pred_min   : all predictions should be >= pred_min\n",
    "        offset     : for df we only do predictions for df[offset:]. e.g. offset can be size of training set\n",
    "    Outputs\n",
    "        pred_list  : list. The predictions for target_col. np.array of length len(df)-offset.\n",
    "    \"\"\"\n",
    "    pred_list = df[target_col].rolling(window = N, min_periods=1).mean() # len(pred_list) = len(df)\n",
    "    \n",
    "    # Add one timestep to the predictions\n",
    "    pred_list = np.concatenate((np.array([np.nan]), np.array(pred_list[:-1])))\n",
    "    \n",
    "    # If the values are < pred_min, set it to be pred_min\n",
    "    pred_list = np.array(pred_list)\n",
    "    pred_list[pred_list < pred_min] = pred_min\n",
    "    \n",
    "    return pred_list[offset:]\n",
    "\n",
    "def get_mape(y_true, y_pred): \n",
    "    \"\"\"\n",
    "    Compute mean absolute percentage error (MAPE)\n",
    "    \"\"\"\n",
    "    y_true, y_pred = np.array(y_true), np.array(y_pred)\n",
    "    return np.mean(np.abs((y_true - y_pred) / y_true)) * 100\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Load data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>date</th>\n",
       "      <th>open</th>\n",
       "      <th>high</th>\n",
       "      <th>low</th>\n",
       "      <th>close</th>\n",
       "      <th>adj_close</th>\n",
       "      <th>volume</th>\n",
       "      <th>month</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>2015-11-25</td>\n",
       "      <td>107.510002</td>\n",
       "      <td>107.660004</td>\n",
       "      <td>107.250000</td>\n",
       "      <td>107.470001</td>\n",
       "      <td>101.497200</td>\n",
       "      <td>1820300</td>\n",
       "      <td>11</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2015-11-27</td>\n",
       "      <td>107.589996</td>\n",
       "      <td>107.760002</td>\n",
       "      <td>107.220001</td>\n",
       "      <td>107.629997</td>\n",
       "      <td>101.648300</td>\n",
       "      <td>552400</td>\n",
       "      <td>11</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2015-11-30</td>\n",
       "      <td>107.779999</td>\n",
       "      <td>107.849998</td>\n",
       "      <td>107.110001</td>\n",
       "      <td>107.169998</td>\n",
       "      <td>101.213867</td>\n",
       "      <td>3618100</td>\n",
       "      <td>11</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>2015-12-01</td>\n",
       "      <td>107.589996</td>\n",
       "      <td>108.209999</td>\n",
       "      <td>107.370003</td>\n",
       "      <td>108.180000</td>\n",
       "      <td>102.167740</td>\n",
       "      <td>2443600</td>\n",
       "      <td>12</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>2015-12-02</td>\n",
       "      <td>108.099998</td>\n",
       "      <td>108.269997</td>\n",
       "      <td>106.879997</td>\n",
       "      <td>107.050003</td>\n",
       "      <td>101.100533</td>\n",
       "      <td>2937200</td>\n",
       "      <td>12</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>2015-12-03</td>\n",
       "      <td>107.290001</td>\n",
       "      <td>107.480003</td>\n",
       "      <td>105.059998</td>\n",
       "      <td>105.449997</td>\n",
       "      <td>99.589470</td>\n",
       "      <td>3345600</td>\n",
       "      <td>12</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>2015-12-04</td>\n",
       "      <td>105.809998</td>\n",
       "      <td>107.540001</td>\n",
       "      <td>105.620003</td>\n",
       "      <td>107.389999</td>\n",
       "      <td>101.421646</td>\n",
       "      <td>4520000</td>\n",
       "      <td>12</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>2015-12-07</td>\n",
       "      <td>107.230003</td>\n",
       "      <td>107.269997</td>\n",
       "      <td>106.059998</td>\n",
       "      <td>106.550003</td>\n",
       "      <td>100.628342</td>\n",
       "      <td>3000500</td>\n",
       "      <td>12</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>2015-12-08</td>\n",
       "      <td>105.940002</td>\n",
       "      <td>106.400002</td>\n",
       "      <td>105.269997</td>\n",
       "      <td>105.910004</td>\n",
       "      <td>100.023895</td>\n",
       "      <td>3149600</td>\n",
       "      <td>12</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>2015-12-09</td>\n",
       "      <td>105.550003</td>\n",
       "      <td>106.750000</td>\n",
       "      <td>104.480003</td>\n",
       "      <td>105.000000</td>\n",
       "      <td>99.164467</td>\n",
       "      <td>4179800</td>\n",
       "      <td>12</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "        date        open        high         low       close   adj_close  \\\n",
       "0 2015-11-25  107.510002  107.660004  107.250000  107.470001  101.497200   \n",
       "1 2015-11-27  107.589996  107.760002  107.220001  107.629997  101.648300   \n",
       "2 2015-11-30  107.779999  107.849998  107.110001  107.169998  101.213867   \n",
       "3 2015-12-01  107.589996  108.209999  107.370003  108.180000  102.167740   \n",
       "4 2015-12-02  108.099998  108.269997  106.879997  107.050003  101.100533   \n",
       "5 2015-12-03  107.290001  107.480003  105.059998  105.449997   99.589470   \n",
       "6 2015-12-04  105.809998  107.540001  105.620003  107.389999  101.421646   \n",
       "7 2015-12-07  107.230003  107.269997  106.059998  106.550003  100.628342   \n",
       "8 2015-12-08  105.940002  106.400002  105.269997  105.910004  100.023895   \n",
       "9 2015-12-09  105.550003  106.750000  104.480003  105.000000   99.164467   \n",
       "\n",
       "    volume  month  \n",
       "0  1820300     11  \n",
       "1   552400     11  \n",
       "2  3618100     11  \n",
       "3  2443600     12  \n",
       "4  2937200     12  \n",
       "5  3345600     12  \n",
       "6  4520000     12  \n",
       "7  3000500     12  \n",
       "8  3149600     12  \n",
       "9  4179800     12  "
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df = pd.read_csv(stk_path, sep = \",\")\n",
    "\n",
    "# Convert Date column to datetime\n",
    "df.loc[:, 'Date'] = pd.to_datetime(df['Date'],format='%Y-%m-%d')\n",
    "\n",
    "# Change all column headings to be lower case, and remove spacing\n",
    "df.columns = [str(x).lower().replace(' ', '_') for x in df.columns]\n",
    "\n",
    "# Get month of each sample\n",
    "df['month'] = df['date'].dt.month\n",
    "\n",
    "# Sort by datetime\n",
    "df.sort_values(by='date', inplace=True, ascending=True)\n",
    "\n",
    "df.head(10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.text.Text at 0x10f05c630>"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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w2WcMzjyxcaN5HB1d+X1TpljfFncce85KS+XYXXBWUOBcBjsOaxIRkW2sWyfl2rUyR6px\n49oXnGkNjBoFTJ/u+QR4x1xmVm9cXlOOPWdGsMXgjIiIKEitWyfJUfv2lfPaGJzt3Al89RVw773A\n+PGefSeUgjPHnrPCQjl2F5wZvalGGewYnBERkW2sXQv062fOMaptwdnJk8DDD5vnc+cCN94oG8FX\nJicH2L3bPK9qWDMYGMGZNz1nVf1zCCYMzoiIyBYKC2Xu1MCBZl3dupLRPjk5MnAN86NbbwUSE83z\ne+6RFYrdulUewGzeLMOff/sb8MQTFbdlCjY1GdYMlUCdwRkREdnC5s3yl/CAAWZdv35STp3aOTCN\n8qOtW4GlSyUg274deO014O235dqhQ8D8+a6/ZwxpTpwo3wl2RnBWWFj94Cw721xEEMy4WpOIiGzB\nWAzg2HM2ebLMwdq8OSwwjfKjc86RskcP8+Oosn0vf/sNaN3azAsX7IyevYKC6s850xrIzQWioqxr\nny+w54yIiGxh3TogLg5o29asq1MHaNAAKC626Q7ZLhhBmmHaNCnT013fv2WLuZtCKHAMzqrbcwYA\nWVnWtMuXGJwREZEt7NkjWezLCw8Hiors/9dd27bAoEHAhRc6199zjyyQ2LrV9feOH3cOaINdTYOz\nY8esaZcv2f/fViIiqhUOHZLdAcoLDwcKC+3/193Jk2YKEUdKyfDf3LnOqzINmZnBnz7DkathzZyc\nqr/jmEKDwRkREZEf3HGH9ABVFpwVFdVsWHPrVmD//ho9wlLFxQq5ue7TYJQPzvLyzK2uQoWrnrPU\nVAlOK1NQIPuCAgzOiIiI/GL27Mqv1XRYs7hYVoB26ACMHev1YyyVnS3r+5o2dX192TIpDx50rjfm\nX4Viz9lNN0n7ExLkfO3ayr9TUAC0by/HDM6IiIj8oFMnKW+7reK1+vVrFpzl5clHKWDJEq8fYykj\nOKusB2zoUCAiomLvnxGchVLPmZFgGABOnQIGD5agdNasyr9TUCD3REUxOCMiIrLUwYMy76h+feCG\nG6R3q7zwcKC0VKG42LvfMLLKt28vc5uys71vr1UOHmwIAIiNdX1dKSA+HjhwwLk+M1PKUOw5MzRt\nCkyYACxeXPH9DHl58r2YGAZnREREliktlbQR998v840qG9JznKPkDSM461yWxzYtzbvnWGnFitZo\n1Qq45JLK74mPr9hzdvy4lMZ8rFBQPjgLD5cEukoB77zj+jsnTgCtWjE4IyIislRGhgRls2ZJkGF1\ncGYMnR4+7N1zrHLiBPDLL81x221m9nxXEhIq9izt3Stlx46WNc/nHIOz6GhJntu+PXDppc5bVxlK\nS4EjR+S+Wh+cKaVmKqWOK6W2u7j2uFJKK6ValJ0rpdRUpVSyUmqrUsrFYmAiIiLTkSNSlpYCJSWV\nz5uqTnCWkwOcd5652wAQ/MHZvHlASUkd3HFH1ffFx0sgl5tr1iUnS69Z48bWttGXHIOz/ful1wyQ\nAM34d8JReros6mBwJmYDGF6+UinVDsCVABzXjFwFoEvZZwKAaRa2i4iIbMAIkoYMkdIXPWebNgFJ\nScCvv5p1wRycaS09h926nXaZgNeRsarRccXm3r3me4UKx22oGjeWXSAAmW939GjFvTONP6+2bSU4\ny8wEior801ZvWRacaa1XAch0cektAE8C0A51owB8pMU6AE2VUpVMayQiIjJ7Sd58U9IqDB7s+r7q\nBGe//y6l46R/Izhr2VJW+wXTnLOsLMnBdtllJ9zeGx8v5dixEtTNnQv8+KM5ly7UxcZKD1lGhpzn\n5QEXXwz85z9y3rmzBGeA/Lvz2mtV50YLJL/OOVNKjQSQprXeUu5SWwCHHM5Ty+qIiIhcMoanOncG\nPvkEOPts1/cZqReMbPJVqSo4a9BAel9SUgLT85KSIpPe58wx64zgIjrafYOMnrMtW4AVK4Bx4+Q8\nlOabVcVYqWoE7Tt3AmvWADNnAmedJVt7GcHZlCnAU09JgBaM6vnrh5RSDQE8A2Coq8su6rSLOiil\nJkCGPhETE4NEV7P/bCQnJ8fW72j39wP4jqHOzu9mCNV33LKlI8LC4rBhwyqoKjYA2LOnOYBe+OWX\njcjIqDoPxpo15wCIxu7dqUhMTAYAJCW1BNAD27f/igYNOuPrr6Nx7rmn8Pbbm3z2Lp74/PM2ALri\nz38G9u//HZdddgLPP98dQCvUrev+z1CG+wYBAEaM0DD+6t2/fz8SE/db1WyfqPjv6CAAcKpLSWkG\noDd+/vk3ZGaexq5dUQD6AQAuumgffvrpINLSGgPoi0WL8gA0QGpqkL671tqyD4AEANvLjnsBOA5g\nf9mnGDLvrDWA6QDGOnxvN4BYd8/v16+ftruVK1cGugmWsvv7ac13DHV2fjdDqL7jXXdpHRvr/r7l\ny7UGtF692v29rVrJvePHm3Vz5khdcrLWjz0mx4DXzfbaXXeZv33NNVoXF5vnb7yxyaNnjBxpfueL\nL7QePlzrQ4csbrgPlP931NWfwfffS91PPzmfA1qnpEhdcrJZB2g9caLlTXcCIEl7ED/5bVhTa71N\na91Ka52gtU6ADF321VofBfAVgHFlqzYHADiltXax5oKIiEhkZnqW2d6Yc+a4+bUr6elm3q/KhjUn\nTTLrrR7aTE8H3nsPmDxZQonVq81rq1eb2f0BIDKyxKNnPvKIeTxqFPDtt0BcnI8a7EcxMZJ02JGR\nRsT4czl9WsoLLzSHdI1hTUMwLe5wZGUqjfkA1gLoppRKVUrdWcXtSwHsA5AM4AMA91vVLiIiCn1a\nyxwsTzLbN2ok5ZkzVd+3Y4d5nJNjHjsGZ82byxwmoOI+lb529dXAffcBzz4r8+Z27ZLzV1+VuWbf\nfWfe27ChZ9sfVLaiNdQcPQosWuRcV69solb54GzuXPOeyEhJlWJwlXojGFi5WnOs1jpWax2mtY7T\nWn9Y7nqC1jq97FhrrSdqrTtprXtprZOsahcREYW+OXMk7YXR01UVIzhzzO/lirEY4KyznHvOjOOG\nskPS/1JPGAlcrXDwILBhg7kC1dh66tZbgbvvloUB335r3t+oUe0Kzlwxes6Mf1ZGcFY+h9uwYeZx\nres5IyIissq//y2lJ/tcRkZK6dgb5kpqquTQKh+c/fGHDP0Zw6P+CM62l6Vvv+km5/p+/WQot2dP\nYPlys75RI8+GNWtDcGb0nBl/hlFRzve1bGkeHzlSMS9aMGBwRkREIWX2bGDzZgmili51f7+nPWdn\nzkjvWFSUc3C2a5f8liE2FoiIsDY4M+aTOSaW3bRJfheQ/F2OvYb163sWYRi9SOPH+6CRQcbVnLPw\n8Ip7cTruI1pUZOZFCyYMzoiIKGSkpsq8q8svB7ZtA/r0cf8dT3vO8vLM4My4NyVFkrw6Bkl16khu\nMH8EZ44JYh3f1XGD84ULUWUqEUd168pCgxkzat7GYOMqOHO1LVX5Td6DcWiTwRkREYWMLVtk1eUL\nL5gTwN2pXx+oW7fUZc/Zhg0SfAFmz1lkpNlztmiR7CzguMoRkOBs927v38MdIzhr3hx46y1g/Xrn\n647BWWXJdyvTvLnn/+xCiafBWfm6YFwUwOCMiIhChtHL0a5d9b4XEVExONu/H7jgAvmUlDgPaxYW\nymfnThnGNLY+MsTHy7XbbqteO06fli2T3MnKkuHYsDAJDM8/3/l6XJzZJmPYtrYzAs7HHpM/z8qC\nM2OFbz/JT8ueMyIiopow/iItn6/KnQYNSioMa+7fL2V+vqSlcAzOAOk927nTdc+UMfdr3jzPFiUY\nLrxQNmo/darq+7Ky3E/eN3rPjGHb2s7oOcvMlAD49OmKiwEAoGtXYPFic74igzMiIqIaOHxYVtsZ\n+2V6qkGDkgo9Z47B2owZEpw1aOBZcPb00+aelEYeNE8Y6TpSU6u+7+RJ9wl2b7tNgj1PEvHWBkZw\nBlTdcwYA118PtGolQ7wMzoiIiGogNVU2H6+uiIiKPWfG+VVXAV9+KZP/jTlngKTQOH3aeaWmoUUL\nc7eAggLP2qAddox2F5xlZbkPuoYNk4297Th/zBuOwZnWVQdnhjZtGJwRERHVyO7dMixVXa56zozz\nRx6RxKUHDzoPa27YIGVlE+6NFA2FhZ61wfH309KqvteT4IycOQZngGfBWXS09FIGGwZnREQUEgoK\npHfLVU+WO67mnBnn551nBnzeBGee9pwZGesB3/SckbPqDGsaGjRwv+dqIDA4IyKikJCSItncu3Sp\n/ncjIiqfc9aokTl/zHFY89df5S/32FjXzzTmvXkanDkuAkhPr/peTxYEkLO6dc3j7Gz5c3G1IMBR\nRET15gz6C4MzIiIKCUZvU3XTaACVLwgIC5MgKyFB6hx7zo4ckV6zyhK81qTnrKqs9EVF0jb2nFWP\n45+TEfy6C87Yc0ZERFQDxsRt7xYElFYY1szNNXvJ4uKk7NHD+S/0qoZQqzvnzLHnrKrgzLiPwZn3\njH++xmb1lQnWnjOu8SAiopBgTKJv06b6362s58wIzh54QLZHGjHCuSelquz71e05M4Kudu2qHtZM\nSZGSwZn3MjOldBecseeMiIioBlJTZR6Wu79wXYmIKEFBgazKNDgGZ02aAFdfLUNjRoJZoOrgrLpz\nzoyArFOnqnvO/u//pB2e7BtKroV6zxmDMyIiCnpaA8uXy8pKb0RElAAAli0z63JyXG995Dh3qfy2\nTY6q23O2caNsHXTOOcChQ5IItfyqzZQUyVz/t78BvXp59lyqyNPgjD1nREREbmzcCHzwgXNdairw\n88/A3r3AmDHePbdBAwnOrr0W2LRJ6hx7zirTunXl16o752z9etnHc8IEYPRo4PPPgQcflHluBw/K\nPdOnA3XqAPfe69kzyTVjWLNBg6rvi4iQ3lTHHtVgwOCMiIiCRv/+ErykpUlvWVGRzNG67DLJhD96\ntHfPNXrOANmSCXBeEFCZFi0qv1adnrPTp2XrpgEDgO7dgWnTpP6LL4AdO4AlSyQ318yZwMiR5gIF\n8k51es4AYMUKa9tTXQzOiIgoKDj2XsTFSe6xsWPNumHDZFjQG0bPGSApMgDPes4cc2eV5+mcs/37\nZU6b1tJzBlRM8fDTT5Kp/sQJYNCgqp9H7h07JqUnc84AmW8YTBicERFRUEhKcj4vKQEWLzbPvR3S\nBIAGDUr/d2yk5KhszpmnqhrW3LkTeOMNOV661Kw//3zzu44Z7RMTJXEq4D43F7lnrMx1F5zVcYiC\nioqsa091MTgjIqKg8MMP5vEFF8g8rCNHgJdflrqRI71/tmPPmfEXd1U9Z+vXA6tWVf1MIzg7dgxo\n1UrmxRkuuAB44gkJ3JKTzXrH9BiOK0WPH5d0Ho71VH2HDgHvvmueuwvOTpwwj7dssaZN3mBwRkRE\nQeGHH2QlY3Ex8MsvUte6NfDUUxLkNGni/bMd55wVF8sQY1Vzzs4/H7jkkqqfaQxr/vST/CU/ebJ5\nzegFW7sWeOstOZ461fn7RnB33XVSfvONlAzOvBcXB9x+uzlc6S44c+z1XLvWunZVF4MzIiIKCuvX\nA5deKvO8HIeblHIeAvSGY89ZcbHMEyspqVkgZLQpK8v4jYr3GHOfALNnzFBS1qTy6UEYnNVMZCQw\nfLgcu1ut+eSTwN//DsTEAFu3Wt82T3GHACIiCri8PODMGe+y/3vCsefM2LsSqNmcM6Wk9+vkSTl3\n1UvjOI+p/B6dxgKI6GiZc2YsBGBwVnPPPy8rY6ta0AFIb+wLLwAPPww0b+6XpnmEwRkREQWc0cNk\n1ZZF5Yc1jWHHmgRngHNw5qqXxuhVc8W41rIl0LWrWc/grObOOUc+nqoqZUogcFiTiIgCasUKoEMH\nObYqOAsPN1drFhcDu3fLcceONXtu/frmAoOZM2WIzJGRDHXixIrfvflmKQcNkgUFBgZnxOCMiIgC\nJivLORu+t3nM3HGcw1ZcbO4SUNP9K41J/YbFi53ztRm9Y48+WvG7H38sw7lhYc7DbwzOiMEZEREF\nRGmprKxz3F/Sqp4zR0VFwPbtQPv2spF6TZQPztLSzPlsQNVDnnXrOm+ybsx58mZjd7IXBmdEROQ3\nCxeaq+KSkiR9xMsvm3tYNm5sfRuKiyX3WJcuNX9W+eAsO1sCNIPRc+ZJwLVli2zn5G4SO9kfgzMi\nIvKbMWOdiXfkAAAgAElEQVTMidopKVIOHy65wOrVA9q2te63v/lGFgAUF8sm6p071/yZRq4zR7t2\nmceebsANyLuPGlXzNlHoY3BGRER+4bgH5Zw5wIEDctyunUyOLyqydkhvxAhJLpueLhtjd+pU82eW\n7zkDzI3VARnWrFPHdRBHVBmm0iAiIr9ITzeP//xnSSHRtKl/hjIN9eqZPVu+6DlzF5xlZUnAWT7H\nGVFV2HNGRER+YQRnCxfKisQTJ2RSvj/Vq2cmhrWq56z8sKYnQ5pEjhicERGRXxibTMfEmL1W3br5\ntw2O20D5IjhzN+fszJmaJ7ql2ofBGRER+cUrr0jZogUQHy/HvhharI56ZZN5Wrf2TdDkqufszBnn\n8xtuqPnvUO3C4IyIiPzijz+k7NwZGD9ejgcM8G8bjODMV0GhEZxVti9jdDTwt7/55reo9mBwRkRE\nfnHqlGwwXb8+MHq0JGsdOdK/bTCCM18MaQLmsObkybIF08UXm7/TvTvw6qv+SaxL9sLgjIiILFda\nCpw+7ZyRPxBzsYxtnHy1EMHoOTvvPNm8fcgQOW/aFPj9d+Duu33zO1S7MDgjIiLLnT4NaF3z7ZJq\nqrBQSl+l7zCCM2NP0Lg4KaOifPN8qp0YnBERkeWMPSabNAlsO4xEuL7qtSsfnBk7HPgzdxvZD4Mz\nIiKyVFERcPy4HAe658wIziIjffO8Zs3kWUZPmRGcseeMaoLBGRERWeq668yJ8oEOzvLzpfRVcPbg\ng8D69eZcNg5rki9w+yYiIrJEXp65V2bHjrKXZocOgW2Tr3vOoqJkVaYhOhqIiOCwJtUMgzMiIrKE\nsbE5AOzYIZPxA92jZPScWbVSVCng6qv9n7+N7IXBGRERWeLYMSm//VYmzrvKpu9vvu45c+XTT617\nNtUOnHNGRESWMIIzYx5WMDCCM2O4lSgYseeMiIhqZOtWoG5d2cS8nsPfKkZwFhMTmHa5YgxrBkMv\nHlFlLOs5U0rNVEodV0ptd6h7QSm1VSm1WSm1QinVpqxeKaWmKqWSy673tapdRETkO1OnAuecA/Ts\nCfznP1JXUCABW0qKBG2V7TsZCNdeK2WgV40SVcXKYc3ZAIaXq3tda91ba90HwBIA/yirvwpAl7LP\nBADTLGwXERH5wJIlslemYcsWKV97TQK2t94CrrnGTDMRDKZOBdLSAr8wgagqlv1PRmu9CkBmubrT\nDqeNAOiy41EAPtJiHYCmSqlYq9pGRETeee014I475Pizz6RXbPduOU9KAsaOBV56ybz/gw/838aq\nhIUBbdoEuhVEVfP7nDOl1IsAxgE4BWBwWXVbAIccbkstqzvi39YREVF5r74qG3tffjmwYgXwww/A\nwIHArFnAqFFA167A+PHAnDnArl1ASYl8b+NGoGXLwLadKBQprbX7u7x9uFIJAJZorXu6uDYJQITW\n+jml1DcAXtZary679gOAJ7XWG118bwJk6BMxMTH9FixYYFn7g0FOTg4irVzzHWB2fz+A7xjq7Pxu\nhqresbQUGDbsUrRpk4dZs37FhAn9sXev3NuqVT5ee20r4uPPIDe3LjIz62P37ii8+KJkZV25MtFf\nr+CW3f8c+X6hYfDgwRu11v3d3qi1tuwDIAHA9kquxRvXAEwHMNbh2m4Ase6e369fP213K1euDHQT\nLGX399Oa7xjq7PxuhqreMS1Na0A+SpnHgNZvvFHx/qQk83owsfufI98vNABI0h7ET36dpqmU6uJw\nOhLArrLjrwCMK1u1OQDAKa01hzSJiALs4EHz2Bho+dOfgKuuAm6/veL98fH+aReRnVmZSmM+gLUA\nuimlUpVSdwJ4RSm1XSm1FcBQAMY6n6UA9gFIBvABgPutahcREXnuv/+V8pFHzLoLLgCWLgVatap4\nfzClzSAKVZYtCNBaj3VR/WEl92oAE61qCxEReS43V/aeXL8eeO89oHdv4JVXgLlzgYyMqgMwpaRH\nbeBA/7WXyG64QwAREWHHDgm6zpwBOnY061u2BL75RjLqt2wpwdmQIVU/66OPrG0rkd0xOCMiIowY\nIeXFF5t1U6ZIL1iLFnL+xRfAvn2cV0ZkNQZnRES1XGGhwoEDcnzggMwp++yzislau3WTDxFZK4g2\n1SAiokA4cSICAHD33UDjxsCddzKLPlEgseeMiKiWO3YsHIBsvfT227LFEREFDoMzIqJa7rvvYlCv\nHnD22UD9+oFuDRFxWJOIqBbLygJ++CEG994LtG4d6NYQEcDgjIioVvvsM6CoqA7Gjw90S4jIwOCM\niKgWmzcPiIs7g379At0SIjIwOCMiqqXS0oDEROCKK45BqUC3hogMDM6IiGqpBQtkM/MhQ44HuilE\n5IDBGRFRLbVsmeybGReXF+imEJEDBmdERLWQ1sDGjbIbABEFFwZnRES10M6dkkajf/9At4SIymNw\nRkRUC82bB9SrB4waFeiWEFF5DM6IiGqJ5cuBTZvk+PffZRPzmJjAtomIKuL2TUREtUBWFjB8uByX\nlgIHDwLx8YFtExG5xp4zIiKbKygARo40zy+9VHrQ2rcPXJuIqHIMzoiIbO6BB4DVq4G775bz1aul\n7NAhcG0iosoxOCMisrHly4EZM4Cnnwbef19SaPz6K/DKK8BddwW6dUTkCuecERHZ1KJFwE03yfGk\nSWZ9//5MoUEUzNhzRkRkUwsXSvnFF0DjxoFtCxF5jsEZEZFNbd0KjB7NXGZEoYbBGRGRDZ05A/zx\nh+ydSUShhcEZEZEN/f67TP4/55xAt4SIqovBGRFRAOXlAf/5D5CT49vnbtkiJXvOiEIPgzMiogAp\nKQG+/hp46CHg+uudr5WWAjt2eP6sKVOA8ePN861bgUaNmMuMKBQxOCMi8jOtgRtvBHr2BL7/Xuq+\n+w44cQJ46ilg3Trg/vuBHj2k3pPnPfYY8NFHQEqK1G3dCvTqBdThf+WJQg7/Z0tE5GdHjwKffgrs\n2gV88IH0cAHAuHHAa68BAwcC06dLnRG8VSUtzTxeuFCCta1bOd+MKFQxOCMi8rODB6W87z4JprZv\nlyHJ5cvNe5o3lz0wFywA8vOrfl5qqnk8b57sBJCVxflmRKGKwRkRkZ8dOiTlPffI8GZCAjB7NnDs\nGPDLL3Lt1VcleDt4UII343tFRRWfd/SolLfdBmzbBtx7r5wzOCMKTQzOiIj8KC3N3Hi8XTvnay1b\nypBmURFw551ATIzU5+ZKINe+PfDGGxWfeeSIlA89ZNade658iCj0cG9NIiI/+eorM1t/9+5AdLTr\n++qV/Zc5MlLKlBQZqgSAffsq3n/kiEz879sXuOQSWaE5Z45v205E/sPgjIjIT5KSJIiaNQsYMQJQ\nqur7jYUCP/9s1hm9aY7S0qS+bl1g1SrftZeIAoPBGRFRDeTlAeHhnqWs2LNH5peNG+fZs42eM8eA\nKze34n0pKcxnRmQnnHNGROSl4mKga1fgzTfd32ukt+ja1fPnGz1nyclAp05A69YSnB06BFx+ubkQ\nYP9+CfqIyB4YnBEReWnzZkljsW2b+3s3bQJ27gSuvdbz5xs9Z4DMJ2vUSIKzOXOAlStl0cCUKdJz\nxuCMyD44rElEVE0bN0qvmbHq0lgtWVoK/OMfQOPGwJNPOn/H2Irpiis8/5369c3jvn0lae2ZM7Kq\nEwCWLpVPt26eD5USUfBjzxkRUTX17w8MGAAsWybnhw8Df/+7DDu++KJswVSeMQQZG+v57zguGHDs\nOTt1yqyfOVOCtm7dqv8eRBSc2HNGRFSFAwcaIjkZ6Ny54jVja6UdO+QTEeF8/csvgS1bpDft6FGg\nYUPnocrq6N9fvp+bK9n/AUmbMXq0d88jouDF4IyIqApPP90LGRnSM5adDZx3nvP1c8+V+WQAcP31\nwH//K8fvvy+JYwH57s6dku7CXfoMVxo0AJo1k56zzEwJzlq2ZNoMIrticEZEVIljx4CjRxsgNhZ4\n7jnna1dcARw4AHzyicz3GjJE5qEZjMAMkJWW+/cD/fpVvw1HjkiPGeDcc1ZZAlsiCn2cc0ZEVInN\nm6X8v/8z62bMAKZPB5YskbxlXboAa9cCkyc75zqLjgb+9S853r8feOYZ4N//rn4bWreWBQYAEBUF\npKfLUGmzZl69EhGFAPacERFVwpjEf/nlwN13y7Dl8OGV3+8YnH30kdmTFhkpwVtNDR0qwWFenm+e\nR0TBiT1nRESVyMiQsnlzmUNWVWAGmGky5s8HrrnG7N0KD/dNe667Dnj1VdkG6oYbfPNMIgo+7Dkj\nIqpERgZQp45GkyaezeIfNAjIyTEz+xvzwnwVnIWFVcyfRkT2w54zIiIHRUWS9R+QlZFRUUXVWmFp\nBGaOx61b+659RGR/DM6IiBxMngy0aydDmFu3Ao0bF7v/UiU6dABeeAH47DMfNpCIbM9tcKaU6qaU\nelMp9U3Z5w2llNtc1EqpmUqp40qp7Q51ryuldimltiqlPldKNXW4NkkplayU2q2UGub9KxEReW/D\nBinXrQN++QVo3LjI62cpJTnO4uN91DgiqhWqDM6UUgMBJALIBvA+gA8A5AJYqZQa4ObZswGUnz77\nHYCeWuveAPYAmFT2O90B3AygR9l33lVK1a3OixAR+cLOncDYsUByMvD448DIkYcD3SQiqmXc9Zz9\nA8BYrfXzWusvtdZfaK2fAzAWwHNVfVFrvQpAZrm6FVprY4xgHYC4suNRABZorQu01ikAkgGcX813\nISLyiNYyt0xr4OuvJfM/AJw8KYlle/QAWrQAXn8dGDr0WGAbS0S1jrvgrJPWOrF8pdb6JwAda/jb\nfwHwbdlxWwCHHK6lltUREfnMU08Bd90FPPAAUL8+sHgxMHIk8Kc/yfW1a6UcODBwbSQicpdKI7uK\na7ne/qhS6hkAxQDmGVUubtOVfHcCgAkAEBMTg8TERG+bERJycnJs/Y52fz+A7xhIpaXAmTP1EBkp\nHfbTp1+IU6fq/+/6PfcUAAhHcnIOEhOTMGNGZ4SFtUFBwRokJpYACN538yW+Y+jj+9mLu+CsnVJq\nqot6BS97tpRS4wFcA2CI1toIwFIBtHO4LQ6Ay4keWuv3IfPf0L9/fz1o0CBvmhEyEhMTYed3tPv7\nAXxHV375RbY9atnSujZlZ0tS2C1bgLlzgXnzgFOngNtvB9avl62XMjMlAVn9+pEYMGAQ/vQnYPRo\n4KqrLvnfc/jnZw92f0e+n724C86eqOJaUnV/TCk1HMBTAC7TWp9xuPQVgP8qpaYAaAOgC4AN1X0+\nEYWGiy4COnYE9u617jemTTNXXt50k1k/apRsrWTkLhswAEhLA774QvKa3XWXdW0iIvJElcGZ1npO\n+TqlVDSAkw69Xi4ppeYDGASghVIqFbKAYBKAcADfKfkv4zqt9b1a69+VUgsB7IAMd07UWpd48T5E\nFOQKCqTct8/a30lJMY87d5bVlwDQt6+Uy5cDa9bIRuLJybJnZXw8MGSIte0iInKnyuBMKfUPAAu1\n1ruUUuGQCfx9ABQrpW7RWn9f2Xe11mNdVH9Yxf0vAnjRs2YTUajKrmomqw+lpgK9ewM33ywT/rOz\nZYVmhw5yfehQ+TzxhARoP/wA/POfzpuXExEFgrv/DI0BsLvseDxkrllLAJcBeMnCdhGRTTkGZ3/8\n4XwtMVE2987Lq/nvpKZKpv9Jk4CuXYF+/WQIs7wGDcxjY9UmEVEguQvOCh2GL4dBcpGVaK13gpum\nE5EXHIOzG2+UXGOGadOAL78E7rtPVlp6S2vJV9aunft7GzY0j9u39/43iYh8xV1wVqCU6qmUaglg\nMIAVDtcaVvIdIqJKnT4tZXi4rKRcvty81rRsQ7c5c4BnnvH+N1JTgawsoFcv9/c6BmeRkd7/JhGR\nr7gLzh4G8CmAXQCmlGXvh1JqBIBNFreNiGwmN1fmeQHAihUy/+uf/5TzggLZaPzss4F77gFeeQX4\n6SfvfmfjRimNyf9VMYY1G/L/bhJRkHAXnF0E2U/zJQBnlFKPKqVuB7Czkgn/REQVfP018M47wPXX\nm/PJmjcHxo2TnGNvvAHExspm4yUlMk8MMFdYAsCiRcDllwPFxRWfX95vv8nE/t693d9rBGVNmlTv\nnYiIrOJu3liUi7oEAM8opZ7XWi/wfZOIyE7y8mSLpPKioiTfWWmprJiMjZX6/fvlGuA8P+3eeyUP\n2aefygrMypw+DaxaJT1wnvSGRURIGRdX9X1ERP7iLs/Z/7mqV0o1A/A9AAZnRFSl2bPN4/79ZUXk\npElAs2bOqyfvvRd47jmgsNCc+5WTY16PjpbgbPx4yZH25JPSO5aTAzRubN4XGwucOSO9cp5IT5fy\nvPO8ej0iIp/zKqOP1joTrvfDJCL6n+Ji4PXXJQjLyZFcYk89ZQZgUVHmFk5DhwKTJ8s8s/r15WP0\nnB06JAHZPffId595BggLk9WVTZrI1kyGM2V7j/Tp41kbx4wB/vxn+W0iomDgVToMpdTlALJ83BYi\nspG8POCFFyRT/1tvAY0amdfCwszjr74CjhyRAM6xJy0qyuw5++ILSY/xxBPAQw8BPXpIfVqalN98\nA9x6q/Pvd+3qWTubNgVmzareuxERWcndDgHbAJTfpqkZZFNyDwcNiKg2evNN4OWXZTjy2msrv89V\nYlhAgjOj5+zAAZkb1rGjuScmIKs/R46UPTpzcqRnDZBVmiNG+OY9iIj8zV3P2TXlzjWADK11rkXt\nISKb2LNHykWLvNsSKTLS7Dk7fBho08YMzN57T4Y3GzaUgO3zz4EFC4D//leu33+/cxBHRBRK3C0I\nOOCvhhCRvRw9KpPsvd1IPDxcgq6vvwYOHpTgzGD0kAGSKy09HfjkE7OuRQvvfpOIKBhwCyYiskRK\nimdJYCtjJJI10nDceKPr+9q2lfL774GrrpK5bQMHev+7RESB5tVqTSKiquTlSXDWpYv3z5gyRQKz\n+fNlXtrw4a7vc+xRe+opGUZt1cr73yUiCjT2nBGRz23bJpn+zz3X+2c8+qh8gKqTzho9Zy1bAhdf\n7P3vEREFC/acEZHPJSZK2a+f9b9l9Jxddx1Qt671v0dEZDX2nBGRT5WUANOnSy9WQoL1v9ekCTB3\nLjB4sPW/RUTkDwzOiMinli2TbP4vveS/37ztNv/9FhGR1TisSUQ+9f77sr/l6NGBbgkRUWhicEZE\nPrVhAzBsmOyNSURE1cfgjIh8JiNDks8ae18SEVH1MTgjIp/ZuVPK7t0D2w4iolDG4IyIfObQISnj\n4wPbDiKiUMbgjIiqbd06oLS0Yn1ampRxcf5tDxGRnTA4I6Jq+e032bvyscfkXGvg1Ve74euvgdRU\nIDISaNw4sG0kIgplzHNGRNVy5IiU//oX8NprwOnTwLJlsfjxR6nv0AFQKnDtIyIKdew5I6JqOXbM\nPF62zAzWlAIKC4EbbghMu4iI7II9Z0RULcePSxkWBnz+OXDLLXK+aJHkNhsyJHBtIyKyAwZnRFQt\nx44BjRrJRuNffQVceqnUd+sGdO0a2LYREdkBhzWJqFqOHwdiYiQ4y8gA/vIXqY+JCWy7iIjsgsEZ\nETlJTQWKiyXwSk4GcnOdrx87BrRqBQwfLudaA0OHHkWTJv5vKxGRHXFYk4j+Z8kS4NprgfvuA774\nQib7t2gh+cuMvTKPHwc6dpSUGV99BbRsCeTn7wLQOqBtJyKyC/acEdUyR48COTmur117rZTTppmr\nMNPTgRtvBAYNAj791Ow5M+4fMMDyJhMR1SoMzohsLicHuOQSYOtWOY+NBS66SI4PHgS2bDHvc+Wc\nc6SH7KefJEg7ftwMzoiIyPcYnBHZ3MqVwOrVwJNPApmZUrd1K5CYCPTpY+YlM3rKnnwS+Owz2QGg\nqAhYsaLiMzn5n4jIOpxzRmRjd98NZGfLcWQk8Pvv5rXBg6XMz5dJ/UePyvmVVwJXXAGMHi3nrVrJ\nUGZMjOQwi4sDhg3z3zsQEdU2DM6IbCorC5gxwzxfvBjYscP5nqefBl55RVZkGsFZaxfz+lu1kkUB\nzZsD4eHWtZmIiBicEdnWvn1ShocDBQVyvHMnMHMm8Mcf0jt28KDUHz8uQ5/16wPx8a6f16aN9W0m\nIiIGZ0S2tXevlEuWyFAlADzxBHDHHeY9S5dKeeAA8PHHklg2Ksq/7SQiImcMzohsas8eKR1TXbz2\nmvM9sbFSXn65lEa2fyIiChwGZ0Q2tXGj7HcZGSnDmKdPV7ynTx+Z4J+aKsOWV1zh/3YSEZEzptIg\nsqlNm4C+feW4c2fz2JFSkjoDkCSzdev6rXlERFQJ9pwR2dSxY9Ir5s6YMZIL7fXXrW8TERG5x+CM\nyIYKCyV/mSebkbdqJUlniYgoOHBYk8iGTp2S0pPgjIiIgguDMyIbOnlSSgZnREShh8EZkQ0ZPWdN\nmwa2HUREVH0MzohsiMOaREShy7LgTCk1Uyl1XCm13aHuRqXU70qpUqVU/3L3T1JKJSuldiuluK0y\nUQ1wWJOIKHRZ2XM2G8DwcnXbAVwPYJVjpVKqO4CbAfQo+867SilmXCLyQEoK8P77znUZGVJGR/u/\nPUREVDOWBWda61UAMsvV7dRa73Zx+ygAC7TWBVrrFADJAM63qm1EdvK3vwH33CNJZw3JybKJedu2\ngWsXERF5J1jmnLUFcMjhPLWsjoiqkJkJfP65HH/4oVn/xx9Ap07M+E9EFIqCJQmtclGnXd6o1AQA\nEwAgJiYGiYmJFjYr8HJycmz9jnZ/P8Dad5w/vx0KCjqhS5dsvPNOFA4cOIzHHtuDpKTzER9/BomJ\n290/xAfs/Odo53cz8B1DH9/PZrTWln0AJADY7qI+EUB/h/NJACY5nC8HMNDd8/v166ftbuXKlYFu\ngqXs/n5aW/eOJSVax8ZqfeWVWn//vdaAfH78UcqpUy35WZfs/Odo53cz8B1DH98vNABI0h7ET8Ey\nrPkVgJuVUuFKqQ4AugDYEOA2EQW1zZuBI0eA224DBg8G7rpL6u+/X8rRowPXNiIi8p6VqTTmA1gL\noJtSKlUpdadSarRSKhXAQADfKKWWA4DW+ncACwHsALAMwEStdYlVbSOyg6VLpRw+HKhTB3jvPSAi\nAti1C7jgAs82PSciouBj2ZwzrfXYSi59Xsn9LwJ40ar2ENnNt98C/fvLxuWATP6Pjwd27wauvz6w\nbSMiIu8Fy7AmEVVDZiawbh0wYoRz/bPPAiNHAuPGBaZdRERUc8GyWpOIPHT0KBAbK8flg7Nbb5UP\nERGFLvacEYWY1avN4/79K7+PiIhCE4MzohBSVATceKMc/+tfTDJLRGRHDM6IQsiePebxww8Hrh1E\nRGQdBmdE1XDmjOxjudvVDrF+cOSIlJzwT0RkX1wQQASguFiGCFXZRmLp6UB0tPOwodbAY48B778P\n5OYCH3/s/3Yawdkzz/j/t4mIyD/Yc0a1XkkJMGgQcPvt0iN25AjQsiXw6qvO90yYIIleAWDr1orP\n0RpYvBjIz7eurUZwZqzWJCIi+2FwRrVacrJMsF+zBpg3DzjrLODuu+Xa0qVAYSHw3/8Cs2YBM2ZI\nj9Wf/wycPFnxWWvWADfcADz9tARqubm+bavWQFISEBkJREX59tlERBQ8GJxRraS1rHy88krg83J7\nVnzzjZSNGwNvvCF5w+6+WwKiF16QLZIKCio+MzNTym3bgOnTJYhKTfVde198EVi0CHjgAd88k4iI\nghODM6p1li6VwKl+fWD/fql79FEpBw6USf/XXw/8+iswbZr5va5dZU5aRITrocvjx6UsKAA++ECO\n27UDMjLq17jNs2dL9v+bbpIgjYiI7IvBGdU6GzdKAGa45BKZT9a/PzBnDtCgAXDLLbIoIDUVaN9e\n7uvYUcrKgrO0NClzc4HTp836yZPPRkmJHE+cKL1x1fXdd0CzZjLEWof/qyUisjX+Z55qhZ07ga+/\nluHBY8ck0DEm199xh8w1+/VXoEsXqfvTn6R3DZANxm+6SYY0AQnOCguB0lLn3zh8WMpt24CDB836\nzZujUa8eMHgw8O67wPLl1W//r7/K95l0lojI/phKg2xp40aZuH/ttTIMeNddwC+/SC9ZZCQQEwO0\nbi3zzioLeH7/HcjJAbp3Bz75xKwPD5fy+HF5lhHEZWRIWVKC//WUOUpMlPLUqeq/z9Gj8i5ERGR/\nDM7Ilow9J7dvB15+2az7+Wc5HjxYynpV/C/AGM4sLyJCyuHDgR49ZJUnIAsCBgyQdBxZWZU/13HI\n0xPFxRIkNm1ave8REVFo4rAm2c6mTeZxhw7m8dtvm8etW3v/fCM427IFOHTIrM/Kkvxow4aZdZ06\nAZdeegKABG4XXui65ywrS/KqFRdXvGbcz+CMiKh2YHBGtpGWBsycCfTta9Z98onkJMvMBM45x6yv\nyfZHRnAGANnZ5nFWluwqcM01cr5ggcwVe/bZHcjJAdauldWgroKzl16S/GhGz54jBmdERLULhzXJ\nNm6/HVi50jx/8kngvPNc33vlld7/jjHnDAA2bwbi42URgBGcjR0LxMUBl10m99Srp9GokRw3aQLk\n5clct7AwYMoUWXCwfr1c37rVHHI1GAlvmzTxvs1ERBQ6GJyRbSQnS7lxo/Rude9e+b01WfXo2HMG\nyMrMWbNkLll0tKS6MAKz8owAa+1a4NJLZa9Ox+du3lzxO0Zwxp4zIqLagcEZ2cK338r8r0cecR7W\nLG/bNsljVhPlgzNAfhdwv+elERQOG2am8gAknUd6uqwoLY/BGRFR7cI5Z2QL8+dLOWJE1ff17CmT\n9GvCVXB2/fWyavP226v+7qhRUubnS6AIAF9+KXPlLrkE2LNH0mY4MhYd1GQRAxERhQ4GZ2QLp04B\nvXvXbC6Zp4zgLCxMyvh4YPFi2VXAXa9cXJyZM230aCmNnQcuvVTK8osCtm4FWrWS3GxERGR/DM7I\nFo4e9V/PkhGcGas/HRcIeOKmmySth5G0NiFByr59gYYNKwZn27YBvXp53VwiIgoxnHNGtnD0qGzB\n5Miu3LMAACAASURBVA+9e8tWTs2bA0lJ+N9KzOqYOFFSf6xaZe4wEBYmudCWLpX5ZXffLRun799v\n9rIREZH9MTijkJefL8GZv4b96tYF/v53WaU5cqQEUd546aWKdUOGAM88I8Ffw4bAo48CJ07IcCgR\nEdUODM4o5L31lmxEfvXV/v3d9u1lMr8vPfoocPnlwFVXAamp5mbqbdv69neIiCh4cc4ZhbSjR6UH\natSoynOLhZIGDWRos107Cc7S0qSePWdERLUHgzMKaV9/LZuCv/BCoFviW3FxEpylpso5e86IiGoP\nBmcU0owErY4bnNtB+eCMPWdERLUHgzMKCikpkkD2xInqfS87G1DKuxWTwaxtW+D4cfnnEhkJNG4c\n6BYREZG/MDijoDBtmmzB9Prr1ftedrYEL0pZ065AiYsDtAZ+/VUCNbu9HxERVY7BGQWFPXuk3L27\n4rXUVElXUVhY8Vp2NhAVZW3bAsEYxvz1Vw5pEhHVNgzOKOCOHJHEq4CZNd/RhAnAjBnAypUVr9k9\nOAO4GICIqLZhnjMKqPT0+vjuO6C4GDj3XCA9veI9OTlSutomya7BWadOMpSpNXvOiIhqGwZnFDCp\nqcCNN14IQPKUtWkDLFpU8b4zZ6Q09rTct08WDlxwgX2Ds4gI2cIpK4s9Z0REtQ2HNSlgfvzRPP7r\nX2WvysxMoKTE+b78fClLS6Xs2VMStaamAqtXy3ZKdjRkiJR2SxNCRERVY3BGAfPDD1L+6U/AJZcA\nLVpIAGbkLjPk5UlZWAgcO2aeG5uBt27tn/b627x5wPLlwLBhgW4JERH5E4Mz8rvrrwfi44FPPwUG\nDTqOTz+V+VUJCXJ9+3bn+41hzaIiGeYzJCVJ+d57ljc5IOrXB4YOBerwf6VERLUK/7PvodJSSQpa\nm50+LYFVYqKcHzhgbsztqYIC4KuvJKlq377ANdeYDxg8GKhXT/KdGdaulf0zAek5y86W45tvlrJ9\ne/sloCUiotqNwZmHJk8GYmIk7UNt9eabwOefA9Ony3lCAtC1a/WeMWeOzCl79lng55+Bfv3MMczG\njYGLLzbTagDOSWmLiszg7I475M+jc2fv3oWIiChYcbWmhxYulPLoUSA2NrBtCZQlS6RcsAAYNEiO\nc3Or94yXXpLy/PNdXx8xAnjySZns36KFOS8NkJ4zI61G8+bAsmWu02sQERGFMvacuaE1sHevlIAM\n7dVG+/YBv/1mnt97r3fPycwEbr3VnF9W3ogRUk6YAPTqJf+8331X6hx7zqKigD59gLPP9q4dRERE\nwYrBWRVKSmTboM6dgR07pM5VktTaYN48KZcvB6ZMkcAJkMnqRUXOw70ZGa4z/Wdny6d378p/p3t3\n4KyzZN5ZcjLQoIG5WtFxzllkZM3fiYiIKBgxOKvCL78AM2cCzZqZdTfcYA5x1hb79gEffSRDmUOH\nAo8+CmzeLPPBSkuBZ56RuWdGiosWLeRTXmqqlFVlvFdK5qMZLr7YTD5bVGQOa9ox8SwRERHA4KxK\nl1wCbNkCfPaZc71dUze4sm6dbCWUnAzcdptZX6eOOTQ5ZYoETe5WsxorO91lvL/lFuDrr4GHHwZm\nz5aUEoBzzxlXaBIRkV0xOHOjVy/gssvMiewAsGqVzJ2qDfbtk/K884CbbnK+ZgRnRkZ/d0O+Ro4y\nx57IylxzDfCvf8mWTmFhUmfMOWvUiLm/iIjIvvhXnIcmTTKPS0qc0z1UJjdXArlQZgRcS5dWHErs\n1Mn1vYbCQudzI/N/kybVa4Njz1lODoc0iYjI3hiceenLL93fc9990ut28KD17fGFhQud97sEZGK/\nUkB0dMX7y9edOGHug2mcL1kCHDok56dOSdm0afXaVb7njMEZERHZmWXBmVJqplLquFJqu0NdM6XU\nd0qpP8rK6LJ6pZSaqpRKVkptVUr1tapdvtCmjWc9Ylu2SGlkuA92f/2rDF06bpGUkSFBWGWbi7/5\nJjBjhhynpzt/9913gVGjgH//W85PnpRAr7orLevWle8Zc864UpOIiOzMyp6z2QCGl6t7GsAPWusu\nAH4oOweAqwB0KftMADDNwnbVWN++MvndmJy+cSPwl7/IykVHRoLU6m5xFAgFBdLOjAygZ08z31h6\nuiR8rcxf/yrZ+uvXl3Qae/ea1954Q/6ZGGk2Tp2SIc3qzhdTSnrPjNWa7DkjIiI7syw401qvAlB+\n2vwoAHPKjucAuM6h/iMt1gFoqpQK2jz8Rp6ulBQpR4wAZs0yg5DNmyVprZECIi3N/22srhdflDbH\nxkqQ9u23ErBlZLhOi+HIWLn52msyjFuvnpwbc86OHQO+/15WfFZ3vpmhfn32nBERUe3g7zlnMVrr\nIwBQVrYqq28L4JDDfalldUHFGNozgjOjl8jYPaCgANi6FTj3XHNjbsDM7xXMXnhBymuvNeuystz3\nnBmMxQHdu0vQOtyhz3T9euDKKyXgq+58M4MRnLHnjIiI7C5Y9tZULuq0yxuVmgAZ+kRMTAwSExMt\nbFb5374UQB1kZycB6I/ExD2Ijj6MgoKLAIThxx9/RWZmfQDnOCWq3bLlCBITd3v1mzk5OZa/Y2Zm\nGICL0LFjDhIS9gGQ6HP58g04fLg3WrfOctv+Bg06A4hDjx4HkZy8D/n58QA6QCmNnBz54+3bNwsD\nB6YjMdHsSvT0/bS+EAcOpCMjozlycjKQmLjHu5cNAH/8GQaand/Rzu9m4DuGPr6fzWitLfsASACw\n3eF8N4DYsuNYALvLjqcDGOvqvqo+/fr10/4UHq41oHVmptZ16mj9979LfbNmUv/zz1rPny/Hf/2r\n1lFRcnzNNd7/5sqVK33S9qokJko7V6zQOilJjgGtV6/WukEDrR9/3P0zDh/W+qGHtN6zR87fe0+e\ncfXV5vN27Kj4PU/fLyFB61tv1ToyUutHHvH83YKBP/4MA83O72jndzPwHUMf3y80AEjSHsRP/h7W\n/ArA+LLj8QC+dKgfV7ZqcwCAU7ps+DOYfPCBzMlq3FjOJ0+W+VTGsGZ2trla8fHHZUhw8GBJKREs\ntAbmzpX9Kh98UM6N/GStWgEtW5r3Pv64bMnkybBmbKysyuzSRc6vuw74+9+dd1eoatsmd9q1k5Qk\nubkc1iQiInuzMpXGfABrAXRTSqUqpe4E8AqAK5VSfwC4suwcAJYC2AcgGcAHAO63ql01cfvtMlm+\nbl1zZeaXX5rB2enTZnAWHS3zpNq0cb+tkT8tWQKMGwesWAG8/bbsdGBsUt68uXNwtm6dlO4WBLgS\nEyPz2OrXN4OpmgRVCQmy+bzWDM6IiMjeLJtzprUeW8mlIS7u1QAmWtUWKzVtWrHnLCLCXKnZsmVw\nBWfbtkn54YfAnXfKClPH4KxBA2DMGOCTT8zvxMTU7Dd37gQOHKjZM+LjzXZytSYREdkZdwjw0s8/\nS3nmTMXgzDFzfny8DMUdCZJB2r17Jdjq2lXOjdxmDRrIBwAWLJAewRMngK++kiHQmmjbFrjwwpo9\nw9jHE2DPGRER2RuDMy8ZwU1uriRHBVwHZxdcIKUxRBhoe/dK2os2beT84EHZXqn8vLKRI2U489pr\nzb0tAyk+3jxmcEZERHbG4MxLjRpJmZUlk+YBCc6OHXMeBjz3XMluH2zBWWysZN6/+27ZU7Ndu0C3\nrGqOPWcc1iQiIjsLljxnIccYAnScS3X6tOyjef75Zl1EhGz3tHatf9vnSn6+7FbQsaO0/+OPgU2b\ngD59gCuuCHTrquYYPLLnjIiI7IzBmZfq1JEA5+BBsy47W4Kz1q2d7x0wAHj/fRn+DAvzbzsd7d8v\n8+OMbP633CKfUBAeLkOxhw8zOCMiInvjsGYNNGrk3HN29Oj/t3fnUXKVZR7Hv086W6cTsieEsCQY\n9CRkUcKWICSAeDTGkSCMh2XEAWQ8oKIMuIzssrkMOiqCokgiKAcQARlnICckLBGEhDEsCUgQ1EAg\nJoGkOyFrP/PHey9V3el0utNVd6vf55w6VXXvre73l3pT/dS9731vGIPW+uzGKVPCoc/4TMmkPfdc\nuAh5vPcuLs7yJj60qcOaIiJSZCrOuqBPn9KesyFDwnU1IZydWO7ww8P95ZeXLgaepOuvhwsvhDPO\nCM/zWpzFJwVoz5mIiBSZirMuaGgIe8SGD4dJk8KUFGY7jt/ad99wf999cMstiTeTxsaWk8sOG7bz\nbbNszJhwWFh7zkREpMhUnHVBfMbmzTeXCp4pU3Ycc2YW9rJBOnvOGhtLU2fE7cmjL30J5s6F7hop\nKSIiBabirAtOPhmuugpmzCgdajvhhLa3jcebbdyYTNvKNTaG9j37LCxenPzvr5RBg2DatLRbISIi\nUl3aB9EF559fehxfDH3WrLa3HT067PF5++3qtyv26KPhUOr69WHP3vjxyf1uERER2T0qzirk9NPD\n2LL99297vVm4Due6dcm0Z86ccO3MbdvCXrOdtUtERESyRcVZhYwfv+s9U/37J7PnzD2cndm7NzQ1\nlQ5rioiISPZpzFmCBgxIpjh74QVYtQpmziwtU3EmIiKSDyrOEjRgQLgWZ7XFg/5nzCgtU3EmIiKS\nDyrOEtTQkMzZmsuWhZMPyq/xmfULm4uIiEig4ixB9fVh0tpqW7oUDjig5WSz8dUBREREJNtUnCUo\nqeJs2TIYOzacgBDTxK0iIiL5oOIsQUkUZ5s3w/LlMG4cdOsG3/kOPPlkdX+niIiIVI72pySod+/q\nF2cvvwzbt4c9ZwAXXFDd3yciIiKVpT1nCaqvh02bqvs71q4N93m9uLmIiEitU3GWoPr6sFdr69bq\n/Y74bND6+ur9DhEREakeFWcJigumah7ajH92nz7V+x0iIiJSPSrOEpREcaY9ZyIiIvmm4ixBccFU\nzXFnceGn4kxERCSfVJwlqHfvcK/DmiIiIrIzKs4SpMOaIiIisisqzhJUzeLs5pthxAh47rmWv0tE\nRETyRcVZgvr2DfdNTZX/2Q89BG+8AXPmQM+eUFdX+d8hIiIi1afiLEGDB4f7NWsq+3MXLAhXBohp\nr5mIiEh+qThLUFycrV4N3/42PPZY13/m9u0wcyY88URpmU4GEBERyS9dWzNBAweCGbz5Jlx1VVjm\n3va2Dz0Ezz8Pzc39mT595z9z+XLYsCE8njYNHn9ce85ERETyTMVZgrp3hwEDYMmS9rfbsAGOOw6a\nm2Gffd7HeeftfNvynzVqFAwfDitXVqS5IiIikgIVZwkbMgSefDI8Hjq07W2amkJhBrBxY/sj+595\npvR48GC48krYtq0CDRUREZFUaMxZwsaOhVWrwuORI9veJp6rrH9/eOed9ouz8j1n++wTDmn261eB\nhoqIiEgqVJwl7M47YeHC8HjYsLa3iedBGzoUNm2qa3Nc2tq1MGsWPPhgadmECZVtq4iIiCRPxVnC\nevaEqVPD4P0HH4TZs3fcprw4a262Nq/Fec894bZlS2nZ2LHVabOIiIgkR8VZSuIxZWedteO68uIM\n4BvfgM2bW27Tv3/p8a23wu9/D3vtVfl2ioiISLJUnKUkLra6t3FKRjzmbMiQcP+978HcuS23aWwM\n9wcdBJ/4BHz0o9Vpp4iIiCRLxVlK4sORPXqUlq1fH+7jPWflY9LMWr4+3nbu3NJloURERCT/VJyl\nJC7O4j1nTz0FgwbBokXwwANhWflUG/FEs7G4ONOZmSIiIsWiec5S0vqw5iuvhEsxHXJIaZtevUqP\n2yrO6utb7nkTERGR/NOes5S03nPWuvgC2Hff0uO2irM99qhO20RERCQ9Ks5S0pHibPp0uPHGxW2u\nV3EmIiJSTCrOUjJ6dLiPB/q3VZzV18N739uI2Y7r16xpOZ2GiIiIFIOKs5Tcey80NJTGjLVVnHXv\nHoq3Pn1arneHP/0Jxo9Ppq0iIiKSHBVnKRk2DE45pVR0tVWcxRoaWq5/7bVwfc7Jk6vbRhEREUme\nirMUNTTA6tXw1a+GqTTKXXxxy+3Ki7NFi8L9wQdXv40iIiKSrFSKMzM7z8yeM7PnzexL0bJBZjbX\nzF6K7gem0bYknXYaHHUUXHcdPPoo7LlnOIx56qlwxRWl7VoXZ4sXQ10dTJqUfJtFRESkuhIvzsxs\nPPBZ4FBgEjDTzA4AvgbMc/cDgHnR80KbPBnmzStdX3PwYDj5ZDjmmJbbjRwJr75aer54MYwbF04Y\nEBERkWJJY8/ZWOAJd9/o7tuAh4FZwCeA2dE2s4HjU2hbKoYPD/e9esFtt8EZZ7RcP348LF0aJql1\nD8WZxpuJiIgUUxrF2XPAUWY22Mz6ADOAfYDh7r4SILof1s7PKJS4OIuvGtDahAlh3fLlOhlARESk\n6BK/fJO7LzOzbwFzgSZgCbCto683s7OBswGGDx/OggULqtHMRK1YMQwYR58+a1mw4JkW65qamti8\neRFwMLff/jx1dc3ABMyeZsGC9Wk0t6KampoK8R62RxnzrcjZYsqYf8pXMO6e6g24GjgHeBEYES0b\nAby4q9dOnjzZi2DhQndwnz17x3Xz58/3jRvdu3Vzv/RS90suCY83bEi8mVUxf/78tJtQdcqYb0XO\nFlPG/FO+fAAWeQdqo1QufG5mw9x9lZntC5wATAFGA6cD10b396bRtjRMnRoufD5qVNvr6+thzBh4\n9lkYOhSGDAkT04qIiEjxpFKcAb8xs8HAVuBcd3/LzK4F7jCzM4G/ASel1LZU7Kwwi40fH4qzQw+F\nvn0TaZKIiIikIJXizN2PbGPZGuDYFJqTCxMmwN13w0svwcSJabdGREREqkVXCMiJWbNKj+vq0muH\niIiIVJeKs5yYNAnOPTc83tmUGyIiIpJ/Ks5y5Oijw72KMxERkeJScZYjgweHexVnIiIixaXiLEdU\nnImIiBSfirMcGTIk3G/Zkm47REREpHpUnOXIoEHhfsaMdNshIiIi1ZPWJLSyG3r1ClcSGDEi7ZaI\niIhItag4y5ldXUlARERE8k2HNUVEREQyRMWZiIiISIaoOBMRERHJEBVnIiIiIhmi4kxEREQkQ1Sc\niYiIiGSIijMRERGRDFFxJiIiIpIhKs5EREREMkTFmYiIiEiGqDgTERERyRAVZyIiIiIZouJMRERE\nJENUnImIiIhkiIozERERkQwxd0+7DbvNzP4B/DXtdlTZEGB12o2ooqLnA2XMuyJniylj/ilfPuzn\n7kN3tVGui7NaYGaL3P3gtNtRLUXPB8qYd0XOFlPG/FO+YtFhTREREZEMUXEmIiIikiEqzrLvp2k3\noMqKng+UMe+KnC2mjPmnfAWiMWciIiIiGaI9ZyIiIiIZouIsA8zM0m6D7L5aef9qJWdR1cL7VwsZ\ni0zvX4mKs2wodIc0s2PMbM+021FFveMHBf9wKWy2GuijUAP91As+TsfMDjWzPdJuRxXVxQ+K2kc7\nSsVZisxshpndC3zHzKan3Z5KM7OpZvY88Bmgb8rNqTgz+7CZ/QH4kZmdCsX841Dkflr0Pgq10U/N\n7GNm9iszu9TMxqTdnkozs2lmthQ4GyhccRa9f3OB68zsKCheH+0snRCQsOjbQA/gGuBI4FLgEGAk\ncLO7/zHF5lWMmdUBPwPmuvuv0m5PpZnZUOB3wLVAI3Ae8Li7X2Nm3dy9OdUGdlEt9NOi91GoiX7a\nG/g+8AHgSuBE4B/A9e7+Spptq5Qo46+AO9z99rLlVoQCxsxGAfcAlxA+X44AFrj7z4rQR3dX97Qb\nUGui/0xbzOzPwA3uvtzMlgDfA7an27qK2oNwGOz3ZtYT+BTwOPA3d9+S5w+WqHAZDixx93uiZSuB\nR83sJndfned8UDP9tLB9FGqmn24ys2XAVe7+dzN7CfgxsCnlplXSSGCNu99uZvXAR4FHgbeAbXl/\nD4H3AI+5+31RIboM+C8z+427v1WAfLtFhzUTYmZfNLObzOyz0aKbgL+YWU93fx3oBwxOr4VdU5bv\nzGhRN2B/YCJwJ/Bx4GrgJ/FLkm/l7jOz083sOHi3cGkCpprZoGjZUkLOH6bXyq4rcj8teh+F2uin\n0ft4rZmdFC36KbDCzHq5+wuELw8j0mth15TlOzFatBU42sw+SNjD9GnC3sLLUmpil5jZiWZ2WNmi\nFcAno/dvk7svAP4AXJxKA7PC3XWr8o0wnuUJ4CPAw8DXgTFl6wcC84A9025rhfJdBNQTDqW8DHwq\n2q4v4ZDDwWm3uRPZBgJ3ASuBZ4C6snVzgF+22vaPwOi0212h97Ew/bTIfbTsvSl0PyUUy18GFhIO\nXy6L3tehZdvsE63fI+32VijfWdG6/wReBD4UPR8bvc/j0m53J/INi/7vvU4oMruVrZsDfL/s32FS\n1J+Hp93utG7ac5aMY4Fvufv/Av9OOGvqlLL1o4B17v6Gme1tZsek0MauaCvfOYQxBA3RDXdvAm4n\n/HHIBXd/C3iQ8GG4mJAp9nngI2Z2SPR8A7AE2JJoIyunyP20sH0UaqOfevjLfTRwkbvfRShkJhEK\n7thE4EV3X29me5nZ+1No6m7ZSb4JZvYpwp6y0URDkdx9GWHvUo+Umttp7r4KuJfwfq0E/q1s9RXA\nTDM7MPp32EQYI9mUeEMzQsVZFZlZ/O/7f8BMAHdfRBjXspeZHRmtHwnUmdkXgP8GcnFKfzv5HgPG\nEQ4tfIXwh+HjZnYRYbDnshSa22llp3LPcfe3CWNZTjCz/QDcfT1wOXCxmZ1O2Bsznpx9oBS5nxa9\nj0Ix+2lZpvh5/D4uIpygQlRo/xk40MwOjNYPATZFffQBwp60zOlEvheAycB6wvt2vpkdaGYXE97D\nFYk1uhPayfdDYCnhi8THzGwEgLsvB34O/Dg6fHsaYU9bTZ4MACrOKir6T/PuXEJeOstkIdAtPkUY\neI7wzSH+43YcYbzLGGCGZ/TMsU7mWwFMdvc5wI3AB4F9gZnuntUPlNb5PLrfFN0/BfwPcFXZNj8i\nfKudDOwHnOju65Jsd2eZ2RFm9p74eZH6aSez5a6PQpsZi9hP68uflL2Py4F+ZjYhev4w0L9s++OB\nzxH66Efc/XcJtHV3dDbf/u7+beBW4FxCvpPcfU1C7e2sNvO5+1Z330bY6/cC4ezheJtrCAXamcD7\ngDPd/Z3EWpw1aR9XLcKNsCv9MeC3wMiy5d2i+0HABcD1RGNBgBuAr0WPjwKOTTtHFfJ9tfW2Wby1\nk89at5vwx/sJ4EDCmXBjouV1SbW3CzkPInxj3Qwc1In3MfP9tAvZctFHd5GxMP0UOBz4DfAL4MNl\n71X36H4MYZzg+WXL7gPOiR6fAByddo5q5Yue90g7x27kM6Kpu+J+GH2e3A3sTdhLNjBa1zPtHFm4\nac9ZZVwE3OXus9z9NQhzKHnp21Aj4dTnnsB3zawHYUzLKgB3f8Td56XQ7o7a3Xz/iH+AZ3uump3l\nc3dvNrN6M+sL4O5/IxRxzxK+1e4RLc/s9BJm1sPMfkI4q+0HhMM906N1ue6nFciW+T7agYxF6afT\nCYdk7yYMfj8NGGhhrqtt8O7hr6cIRczXopduBv4Srb/b3ecn3PQOqUS+aJutCTa7w3aRz93dzaxX\ndFbmdnd/BHiesBf7YcIhadw9V2Mhq0XFWReYWbfo8EKTu38/WnacmQ0gOg3fzK4kTCC4jjBIdyDh\nj8Q6YHYqDe8g5QMz+yZwG2HKBczsZMJA8u8CE9z96VQa3zm9gEeAI939fsKH51gz6x7/sTazy8nn\n+1jkbLGOZLyU/PfTicBT7n4b4fBdD8L/zWYInzVm9nPCCQ8/AA41s8XAWsIexayr9XxXECZ9HhE9\n/xzhpICfABPd/aVUWp1RmoS2k8zscGCtu/85+ra6CjjSzGYCZxGOtb8JLDOzXxM+LL8efSPCzM4A\nGty9MaUI7VK+HfK9B/hKnA94BZjuGZ99vDwnsCH6wIzVAdvdfVs0cHcCcADh8OXL0esz+z4WOVts\nNzK+D7gwzkgO+mmrjBAK0MvM7HVCYbmMMED8AeDvhM+aS9z91ej1pxAO/b2deOM7QPl2yDeGsnyE\n8XVTyz5bpVzSx1HzegMGEM5QayQcBmsoW/cfwNPAP0XPjyKcMjylbJusj2dRvvbzZXqszq5yUjYu\nifAh+SalMR7lY0Ey+z4WOVsFM2a+n7aRsW/ZukOBm4FPRs/PJEyEPCkv76Py7TJf5vtoFm46rNlx\nDYSxHl+IHh9Vtu5+whxQg6Lni4A3iC4hYvm4PpjytZ8vs2N1WmkzpwfN0Sntr0bbTIvXQS7exyJn\ni3U1Yx76aeuM8VQtuPuTwFDgr9GihwjFwFuQm/dR+drPl4c+mjoVZ+0ws0+b2TQz28PDQPGfAncQ\n/mgfZmYjAdz9GeBC4FwzG0IYCDkBWBOtz+R/NuXLd75YB3LuFW1nUZZ4upC4+DTIZs4iZ4spY4uM\nvQjTLJwTvfRYwpemeJqQTGZUvnznyyKLvnRJJPqg25MwgLiZcGmXBuA8d18dbXME8M/AInf/Zdlr\nzyeMGzgA+LKH69hlivLlO1+skzmfcvdbo2V17r7dzH4JvOzul6XR/vYUOVtMGXf+f9HChLKXRq/d\nCnzew4z4maJ8+c6XeWkfV83SjdKcLO8Fbo0edyfManx3q22/DFxJmCCwX9nyLM9Bo3w5zleBnH2y\nnrPI2ZRxlxkHAPXRsnrCxKupZ1G+4uXLw02HNQEz625mVwNXm9k0wplP2wE8zD/zRWBKtC52E+Ei\nyXOB5fFuXc/gHDTKl+98sQrkfCWrOYucLaaMHcr4qpmNdPd33P0vZIzy5TtfntR8cRZ1ssWEuY+W\nA98k7Io92swOhXcH3F4BXFb20o8RjqsvIcwj9HqCze4w5ct3vliRcxY5W0wZO5TxT4SMryXY7A5T\nvnznyxvNcxaOpX/XS8fLPwCMJkxWeQMw2cIZUr8ldNJRHuZp2QR8yMMsx1mmfPnOFytyziJniylj\n/jMqX77z5UrN7zkjfFO4w8zqoucLgX3d/Ragzsy+4OEMk70JEz++CuDu9+akMypfvvPFipyzltvi\nmgAAAp1JREFUyNliypj/jMqX73y5UvPFmbtvdPfNXpp75ThK19v7V8JlUu4Hfk2YqPTdU9fzQPny\nnS9W5JxFzhZTxvxnVL5858sbHdaMRN8WHBgO3BctbiTMHj8eeCU+lh4dd88V5ct3vliRcxY5W0wZ\n859R+fKdLy9qfs9ZmWbChVpXAxOjbwgXA83u/pjnf5Cj8hVDkXMWOVtMGfOfUfmk6jQJbRkLF3L9\nQ3T7hbv/POUmVZTyFUORcxY5W0wZ80/5pNpUnJUxs72BfwGuc/fNaben0pSvGIqcs8jZYsqYf8on\n1abiTERERCRDNOZMREREJENUnImIiIhkiIozERERkQxRcSYiIiKSISrORERERDJExZmI1CQzu8zM\nLmhn/fFmNi7JNomIgIozEZGdOR5QcSYiidM8ZyJSM8zsG8Cngb8TLuq8GFgHnA30BJYTJt98P3B/\ntG4d8MnoR1wPDAU2Ap919xeSbL+I1AYVZyJSE8xsMnALcBjQHXgauJFweZo10TZXAm+6+w/N7Bbg\nfne/K1o3D/icu79kZocB17j7McknEZGi6552A0REEnIk8Ft33whgZvdFy8dHRdkAoC/wQOsXmllf\nYCpwp5nFi3tVvcUiUpNUnIlILWnrUMEtwPHuvsTMPgNMb2ObbsDb7v7+6jVNRCTQCQEiUiseAWaZ\nWb2Z9QM+Hi3vB6w0sx7AqWXbN0brcPf1wCtmdhKABZOSa7qI1BKNORORmlF2QsBfgRXAUmAD8JVo\n2bNAP3f/jJkdAdwEbAZOBJqBG4ARQA/gdne/IvEQIlJ4Ks5EREREMkSHNUVEREQyRMWZiIiISIao\nOBMRERHJEBVnIiIiIhmi4kxEREQkQ1SciYiIiGSIijMRERGRDFFxJiIiIpIh/w/b7fo+5cXa2QAA\nAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10f03b630>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot adjusted close over time\n",
    "rcParams['figure.figsize'] = 10, 8 # width 10, height 8\n",
    "\n",
    "ax = df.plot(x='date', y='adj_close', style='b-', grid=True)\n",
    "ax.set_xlabel(\"date\")\n",
    "ax.set_ylabel(\"USD\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Split into train, dev and test set"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "num_train = 453\n",
      "num_cv = 151\n",
      "num_test = 151\n",
      "train.shape = (453, 8)\n",
      "cv.shape = (151, 8)\n",
      "train_cv.shape = (604, 8)\n",
      "test.shape = (151, 8)\n"
     ]
    }
   ],
   "source": [
    "# Get sizes of each of the datasets\n",
    "num_cv = int(cv_size*len(df))\n",
    "num_test = int(test_size*len(df))\n",
    "num_train = len(df) - num_cv - num_test\n",
    "print(\"num_train = \" + str(num_train))\n",
    "print(\"num_cv = \" + str(num_cv))\n",
    "print(\"num_test = \" + str(num_test))\n",
    "\n",
    "# Split into train, cv, and test\n",
    "train = df[:num_train]\n",
    "cv = df[num_train:num_train+num_cv]\n",
    "train_cv = df[:num_train+num_cv]\n",
    "test = df[num_train+num_cv:]\n",
    "print(\"train.shape = \" + str(train.shape))\n",
    "print(\"cv.shape = \" + str(cv.shape))\n",
    "print(\"train_cv.shape = \" + str(train_cv.shape))\n",
    "print(\"test.shape = \" + str(test.shape))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# EDA"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.text.Text at 0x1a1a995e80>"
      ]
     },
     "execution_count": 41,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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xQGxk5ro1ZaGUmgbMAU4A+gLXaJo2v4WyzwO/Au7QNG1u0HkrMBeYCdiBpcCv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\niEj9lMyJSGKee87nU/1OnbM/i4jIuiiZE5HETJz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BfPIJvPUWHHpo01/j3nvhppt8vXt3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\nKiIiIsWlmrkUaJfXQbW26b2WLfNkLp7ZYcqUtc/ZYAM46ii4/fbClFF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      "text/plain": [
       "<matplotlib.figure.Figure at 0x1a1a9cf438>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot adjusted close over time\n",
    "rcParams['figure.figsize'] = 10, 8 # width 10, height 8\n",
    "\n",
    "ax = train.plot(x='date', y='adj_close', style='b-', grid=True)\n",
    "ax = cv.plot(x='date', y='adj_close', style='y-', grid=True, ax=ax)\n",
    "ax = test.plot(x='date', y='adj_close', style='g-', grid=True, ax=ax)\n",
    "ax.legend(['train', 'validation', 'test'])\n",
    "ax.set_xlabel(\"date\")\n",
    "ax.set_ylabel(\"USD\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Predict using Moving Average"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/yibin/anaconda3/lib/python3.6/site-packages/ipykernel_launcher.py:21: RuntimeWarning: invalid value encountered in less\n",
      "/Users/yibin/anaconda3/lib/python3.6/site-packages/ipykernel_launcher.py:6: SettingWithCopyWarning: \n",
      "A value is trying to be set on a copy of a slice from a DataFrame.\n",
      "Try using .loc[row_indexer,col_indexer] = value instead\n",
      "\n",
      "See the caveats in the documentation: http://pandas.pydata.org/pandas-docs/stable/indexing.html#indexing-view-versus-copy\n",
      "  \n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "RMSE = [1.1982002858600698, 1.3278504407218132, 1.4049983287559549, 1.5433980751218475, 1.6968728068081746, 1.8380319168799797, 1.9675831147876115, 2.0951043728552854, 2.2026224872545233, 2.294933091282723, 2.3774285839327223, 2.4494056529633252, 2.5135777208433234, 2.569642118767847, 2.620254767934356, 2.6671885373548996, 2.7120983363697806, 2.759058939802423, 2.8073461568960205, 2.851760343315328, 2.892269261565184]\n",
      "MAPE = [0.5771723671366045, 0.637721537076798, 0.7010003080344648, 0.7891314867693691, 0.8669201913379924, 0.9326939277126683, 1.0088904906643534, 1.0942589510771215, 1.165971183452869, 1.2221777599120094, 1.2766135690580689, 1.3315315109388988, 1.379599603819754, 1.4199423302887366, 1.4634000260804694, 1.5175724962249528, 1.5715233704736777, 1.6233796199817356, 1.6722076958959515, 1.7192263041604046, 1.7619759699141715]\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
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       "\n",
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>date</th>\n",
       "      <th>open</th>\n",
       "      <th>high</th>\n",
       "      <th>low</th>\n",
       "      <th>close</th>\n",
       "      <th>adj_close</th>\n",
       "      <th>volume</th>\n",
       "      <th>month</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>2015-11-25</td>\n",
       "      <td>107.510002</td>\n",
       "      <td>107.660004</td>\n",
       "      <td>107.250000</td>\n",
       "      <td>107.470001</td>\n",
       "      <td>101.497200</td>\n",
       "      <td>1820300</td>\n",
       "      <td>11</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2015-11-27</td>\n",
       "      <td>107.589996</td>\n",
       "      <td>107.760002</td>\n",
       "      <td>107.220001</td>\n",
       "      <td>107.629997</td>\n",
       "      <td>101.648300</td>\n",
       "      <td>552400</td>\n",
       "      <td>11</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2015-11-30</td>\n",
       "      <td>107.779999</td>\n",
       "      <td>107.849998</td>\n",
       "      <td>107.110001</td>\n",
       "      <td>107.169998</td>\n",
       "      <td>101.213867</td>\n",
       "      <td>3618100</td>\n",
       "      <td>11</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>2015-12-01</td>\n",
       "      <td>107.589996</td>\n",
       "      <td>108.209999</td>\n",
       "      <td>107.370003</td>\n",
       "      <td>108.180000</td>\n",
       "      <td>102.167740</td>\n",
       "      <td>2443600</td>\n",
       "      <td>12</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>2015-12-02</td>\n",
       "      <td>108.099998</td>\n",
       "      <td>108.269997</td>\n",
       "      <td>106.879997</td>\n",
       "      <td>107.050003</td>\n",
       "      <td>101.100533</td>\n",
       "      <td>2937200</td>\n",
       "      <td>12</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "        date        open        high         low       close   adj_close  \\\n",
       "0 2015-11-25  107.510002  107.660004  107.250000  107.470001  101.497200   \n",
       "1 2015-11-27  107.589996  107.760002  107.220001  107.629997  101.648300   \n",
       "2 2015-11-30  107.779999  107.849998  107.110001  107.169998  101.213867   \n",
       "3 2015-12-01  107.589996  108.209999  107.370003  108.180000  102.167740   \n",
       "4 2015-12-02  108.099998  108.269997  106.879997  107.050003  101.100533   \n",
       "\n",
       "    volume  month  \n",
       "0  1820300     11  \n",
       "1   552400     11  \n",
       "2  3618100     11  \n",
       "3  2443600     12  \n",
       "4  2937200     12  "
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "RMSE = []\n",
    "mape = []\n",
    "for N in range(1, Nmax+1): # N is no. of samples to use to predict the next value\n",
    "    est_list = get_preds_mov_avg(train_cv, 'adj_close', N, 0, num_train)\n",
    "    \n",
    "    cv['est' + '_N' + str(N)] = est_list\n",
    "    RMSE.append(math.sqrt(mean_squared_error(est_list, cv['adj_close'])))\n",
    "    mape.append(get_mape(cv['adj_close'], est_list))\n",
    "print('RMSE = ' + str(RMSE))\n",
    "print('MAPE = ' + str(mape))\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
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vGoDMTu25ekI/Jo+ob/Pcsf3hf0W8dXLOO47l5WYbcNTsGHIkSZJaqRgjq8r2Mnd5CU8t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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1a1a995588>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot RMSE versus N\n",
    "plt.figure(figsize=(12, 8), dpi=80)\n",
    "plt.plot(range(1, Nmax+1), RMSE, 'x-')\n",
    "plt.grid()\n",
    "plt.xlabel('N')\n",
    "plt.ylabel('RMSE')\n",
    "plt.xlim([2, 21])\n",
    "plt.xticks([2, 5, 10, 15, 20])\n",
    "matplotlib.rcParams.update({'font.size': 14})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "([<matplotlib.axis.XTick at 0x1a1a1c5c50>,\n",
       "  <matplotlib.axis.XTick at 0x1a19b3da20>,\n",
       "  <matplotlib.axis.XTick at 0x1a19706358>,\n",
       "  <matplotlib.axis.XTick at 0x1a1a50a550>,\n",
       "  <matplotlib.axis.XTick at 0x1a1a50af60>],\n",
       " <a list of 5 Text xticklabel objects>)"
      ]
     },
     "execution_count": 37,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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7T5pbd58zXHOeXy2Xy6ipxScjaeqw/rpsfLymDYtRaDB7ggDoWigjAAD42dri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\nkiQpCcuIJEmSpCT+BxJG8gG3CkH1AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1a1a314780>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot MAPE versus N. Note for MAPE smaller better. \n",
    "plt.figure(figsize=(12, 8), dpi=80)\n",
    "plt.plot(range(1, Nmax+1), mape, 'x-')\n",
    "plt.grid()\n",
    "plt.xlabel('N')\n",
    "plt.ylabel('MAPE')\n",
    "plt.xlim([2, 21])\n",
    "plt.xticks([2, 5, 10, 15, 20])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# Set optimum N\n",
    "N_opt = 2"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Plot Predictions on dev set"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.text.Text at 0x1a1aeaeac8>"
      ]
     },
     "execution_count": 42,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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QtHrmdGqd03W/5v0YFDqIN3a+gcVWsfe1rMeuQ7MOQNNYBCGDOUmSJOmGkJm5\nmez0/2Fc/DXZdMWzuYujmoxuoLX/krcVX/1B8jZbIfqMy5vpFh9sXNtbxKbHYraamdxjsss8ZZsH\nJ2UlOaWfzjpNqFdoXVav1pUNcyul/9OpdTx585MkZSeRcCahQv5zuecA6BncE5A9cxUoinKboijf\nKYqSoiiKUBRlUhV53y3NM/OKdL2iKG8oipKhKEp+aXkt6rzykiRJUpNmNp/DbxvkZPejBF+8gyrf\nekSl0mEz2oMxYal6vltu9i7yXhoHmZdXvtpshejSLwdz5pON63zPTWmb6BnUk5uCbnKZp6VnS8C5\nZy63OJcLBRea1B5zACU2+7y/f9z6Dz4f9TlqlZquAV0BOJNzpkL+c7nnMGqNsmeuCibgd2A64HIS\ngaIoo4CbgXOV3F4G3A88BEQAnsAGRVEqLsmRJEmSpFJmcyrNN+pI5iHcSCEwKLHSfIqix1a69Zwo\nqTqYy/jyGUzzV8PTTzvSbLZC1OcvrwQtPtN45sztT9vPsbxjVfbKgX3RQIhHCEnZl3vmTmSeAKCt\nb9MM5tr5tuOBLg8AEOwRDEBqbmqF/OfyzhHiEUKAewAA6fnp9VTTa1evwZwQYqMQ4v8JIdYAlfZd\nK4oSCsQAY4CSK+55AY8AzwkhfhJC7AXGA92BIXVaeYnFixcTFhbmuJ47dy5du3b9U2WuWrUKk6lp\nnYE4adIk7r777irzxMfHoygKGRnX76ajktTkHD+NYbcHOXQjiB9Q3zOs0mwqlR6Lh/3z6oI5c9Yp\n+ydZl1dGWq2FkObhuC5ONV/5WIP56tBXqBU1Y7qNqTZvqFco3/3xHVlFWQghWLlnJdC0Tn8AHPPi\ntGqtI81L74Wbxs0xpApwJOMIP574kWMXj9HCswVuGje89F6czz9PbnEuGQWN9+d5o5ozpyiKBvgM\n+JcQ4nAlWXoDWuDHsgQhxBngMDCgXiopOcycOZMtW7bUOL+iKBWOGYuOjubkyZO1XbU6FRMTwyef\nfOK4joyMrLUzbO+66y4URXEqH/580Hvw4EFGjRpFmzZtUBSFuXPn/smaSlLT4/m/VDKIAKDZroXw\n0EOV5lOp9FhN9iDOVuJ6zpzVWkRJsb1nR6guD6vabIWYLzYHQKekUXihYU7OXP/Het7e9bZTWmpu\nKj5aH5oZm1X7vL+7PxcLL/LQ1w+xbPsyx9YeTa5nrnR7lfJHkymKQrApmNS8yz1znZd35o5P7mBP\n6h6Gtx0nZi6cAAAgAElEQVQOQKApkPP55+n4Zkf8X/Wv34pfhcZ2Nus84KIQ4m0X94MAK3BleHy+\n9F4FiqI8DjwOEBgYSHx8fKUFe3l5kZubew1VblysVmuV7TCbzeh0Opf3q1JcXIwQwql8nU53VV+3\nwsLCCvkNBkONy6iuffVBpbL/DVRWD6vVitlsdqpXQYF9s9G8vDz0en3FQlwQQuDm5sasWbMYPny4\n49mioiKnd16tCxcuEBISwp133sm//vUviouLa1RWUVGRy++Za5WXl1frZTYm13v7oKm20ULbi8Wk\nqwZBS9iTdxTij7rIW4KXyb4lyf7d+6so8zh+xYIL3IZIz+JQ6ddEXZBOYXEkKDZ8vOI5nzWapDtG\nkduvCxm3V32QfW26d4t989/tB7czOWwyhdZCfvzjRwwqQ43++x1OsfepbDq+idgTsY70vQl766S+\ntan8v9HU8/aA7eiRo8RfjHfk0Vv1HE85XuFroaDQOq818fHxuFncOHTmkCPoa7T/7oUQDfIB5AGT\nyl0PAlIA/3Jpp4GZ5a7HABZAuaKsOOCd6t7Zu3dv4cqhQ4dc3musBg0aJKZMmSKmTZsmvL29hbe3\nt5g2bZqwWq2OPKGhoeKll14SkydPFl5eXmLUqFFCCCHOnj0roqOjHc/ddddd4ujRo07lv/LKKyIw\nMFC4u7uL8ePHi5deekmEhoY67r/00kuiS5cuTs+sWrVKdO3aVeh0OhEQECAmTpzoqAfg+Cgr58MP\nPxTu7u5OZbzzzjuibdu2QqvVirZt24p3333XcS8nJ0cAYsWKFWLUqFHCaDSK1q1bi//85z9OZcyb\nN0+0atVK6HQ6ERgYKMaPH+/y69i3b1+xcOFCx/WYMWMEIFJTU4UQQuTn5wutViu2bt0qhBBi4sSJ\nYsSIEY7Py7cLEKdOnRJxcXECEJs3bxZ9+/YVBoNB9O7dW+zZs8dlPYQQYuDAgWLixIkiMDBQvPba\na470yr5O16pLly7ipZdeqlHeuvi+iIuLq/UyG5PrvX1CNM02Fheni+QoHxHHZnFyzskq8+7e3U8c\nujdCxBEnMtaec5kvLW21+P2R5iKOOLHH52NH+r7PW4lE5ontQd+Lo11vE3HEiTjixLGOy2qtPdXJ\nK84TzMXxkVucK+5afZdgLqLd4nY1KmPTsU2O55u/1ly4L3AXzV5pVsc1rx3l/43e+9m9grmIdYfX\nOeUZ8P4AMfijwY7rsrZGrYpypI36cpTQztc6fR3rE7Bb1CCmakzDrFFAMJCqKIpFURQLEAq8oijK\n2dI8aYAa8Lvi2QDsvXM3nNWrV2Oz2UhISGDFihWsWrWKZcuWOeVZsmQJnTp1Yvfu3fzf//0fBQUF\nREVF4ebmxpYtW0hISCA4OJghQ4Y4epS+/PJLZs+ezbx589i7dy8dO3ZkyZIlVdZlxYoVTJkyhcmT\nJ3PgwAE2btxIly5dANi1axcAK1euJDU11XF9pXXr1vHUU08xY8YMfv/9d6ZPn84TTzzB+vXrnfLN\nnz+fkSNHsn//fqKjo3n44YdJSrJP1P36669ZvHgxb731FseOHWPDhg307dvXZb0jIyOJi4tzXG/Z\nsgU/Pz/HX2Dbtm1Dq9VWWkZMTAz9+/dn8uTJpKamkpqaSsuWLR33//nPf7Jw4UL27t1Ls2bNGDt2\nbLW7wZtMJubMmcOCBQvIyqp8h/Lk5GRMJlOVH1OnTq3yPZJ0I7FYLlGYPABQ4z+q6uEylUqP1dM+\nvCouVv49CJCffxAly75SIifz8ve9Ji2ffFrj3sEN69N5hOpWolfSyL9Ut+eZ2oSN39N/J7c4lx0p\nO5zubTy2kW3J24DLCwKqc0e7OxzbkDx/6/NceO4CSTOSqnmq8ens1xmAYFOwU7pWpXX6WjQz2Iee\nH+75sCMt0D3QKU9lCyYag8Y0zPoWsOaKtB+wz6FbWXq9B/uiiKHApwCl25J0Bn6t1drMmAH79tVq\nkdXq0QOuCMSqExwczOuvv46iKHTq1InExESWLFnC3//+d0eeQYMG8fzzzzuuP/jgA4QQfPjhhyiK\nfZ7HihUrCAgIYMOGDTzwwAMsW7aMiRMnMmXKFABmzZpFXFwcx48fd1mXl19+mRkzZji9u3fv3gD4\n+9t/eHp7exMUVOmIOGBfZDF+/HjHHLQOHTqwZ88eXnnlFe655x5HvvHjxzNu3DjHe2NiYvjll18I\nDQ0lKSmJ4OBghg0bhlarpVWrVvTp08flOyMjI1m+fDkWi4VTp06RnZ3NtGnTiIuL48EHHyQ+Pp4B\nAwag1WorPOvl5YVOp8NoNFbarpdffpmoKPuwypw5cxg4cCApKSm0aFH1bjqPP/44y5YtY+HChSxc\nuLDC/ZCQEPZV8+/T09OzyvuSdCMpKcmkOLMTGk0e7l3dq8yrUhmwGe1BnC2vyGW+/PyDaHINFdI1\nKTYKaU7ATR6EPbabbZ2a4TGyB+aCVn+uEVU4fuk4kasiSclN4ZYWtzg2vv1rp7+y7sg61h5ei1Fr\nJLs4u8bBHFw+pzTUKxSDtmJbm4KXo15meLvh9GvRzyldq9aSb853XPsafOnk14mx3cY60sL9w52e\nSc1LpX2z9jQ29b3PnElRlB6KovQofXer0utWQoh0IcTv5T+wB25pQog/AIQQ2cD7wKuKogxRFKUn\n8B/gALC5PtvSWNxyyy2OgAygb9++pKSkkJOT40i7MpDZs2cPp06dwsPDw9GL4+XlRWZmJidO2Jee\nHz58mP79+zs9d+V1eenp6aSkpDB48OA/1Z7Dhw9z6623OqUNHDiQQ4cOOaV1797d8blGo8Hf35/0\ndPvy8dGjR1NUVETr1q155JFH+Oqrrygudr2Le0REBMXFxezatYv4+HgiIiIYMmSIo2cuPj6eyMjI\na2pP+XqGhIQAOOpZFY1Gw4IFC3j99dc5e/ZspffbtWtX5UdAQMA11VmSrkdn14+j+FJHjKZ0p5+Z\nlVGr3RFaexAjil0f51VQcAh1QcXeNnEsEFDh3i8QRVEwuLdD7XaR4iKPioXUklX7VpGWl0aAewDb\nz27nSMYRAt0DWRu9lrHdxrIlaQtGrRGAElHzYK7QYt9WJcjk+o/wxk6r1hIZFlkx/YqeuZziHLr4\nd3H69xHdJdrpmfKrXxuT+u6Z64N9fluZeaUfHwGTaljGM9jnzX0BGIBYYIIQ4uoP0KvKVfaQNWbu\n7s5/hdpsNnr06MHnn39eIa+v77WduVfd0OHVqOwH7ZVpV/aSKYqCzWYfFmnZsiV//PEHsbGxbN68\nmWeffZZ58+axY8eOCl8LsA9r9urVi7i4OA4ePEhUVBT9+/cnKSmJY8eOsWvXLhYtWnRNbSlfz7I2\nlNWzOqNHj2bx4sW89NJLREREON1LTk4mPDzcxZN248aN45133rnKGkvS9cdsPo9pVhAXaE9I/vpq\n86vVJqy60mDOXPn3qxA2CgtP4F/YrVyaoKTkIpywD02697Yfe2UwtEUxnMdiNWIttKI21P62qL8k\n/0KfkD7kmnMd+6L5Ge0zkga2GsjqxNWOYM5sq/lWKWU9c005mHNFo9I4VrqCPZjz1DuPaFy56lcG\nc4AQIh6o+k8i5/xhlaQVAU+XftzwduzYgRDCESjs2rWLkJCQKofYevXqxWeffYafnx/e3t6V5unc\nuTPbt2/n4Ycvzx3Yvn27yzIDAwNp3rw5sbGxDB06tNI8Wq0Wq7XqmLtz585s3brV6b1bt26tNnC5\nkpubGyNGjGDEiBG88MILBAUFsW3bNoYNq3xfqbJ5c4cPH2bGjBm4ubnRr18/FixY4HK+XBmdTldt\nu67VokWLGDx4cIUgWw6zSlLNnTo5m+K0ISiYCV1a/d6YTj1z5sq/t222QsCGKvPyanVboY0C8xGs\nKR1QqcwY2tmHJd3c2mJ23wOA+ZwZQ9vaH67MKMigk18nDpw/AEAX/y58dv9nAES0sv8xWFBinxPt\noal5D2FLz5acyDxBoCmwlmvc8LRqrWMPuhJrCYWWwgrB3JVkMCfViXPnzjFjxgyeeOIJEhMTef31\n15k9e3aVz4wdO5bFixczcuRI5s+fT6tWrThz5gzffvstU6dOpX379kyfPp0JEyZw8803ExkZyZo1\na9ixY0eVPXezZs3imWeeITAwkBEjRlBQUEBsbCzPPvssAGFhYcTGxjJo0CD0ej0+PhUPa37uuecY\nPXo0vXv3ZtiwYWzatInVq1ezdu3aGn9NVq1ahcVioV+/fphMJr744gu0Wi3t27ue5xAZGclrr72G\nu7s7vXr1cqQtWLCAqKioSufLlQkLC2Pnzp2cPn0ak8l0zb2blRk0aBDDhw/nzTffRK2+/Nd82TBr\nTZnNZsdQdVFREWlpaezbtw+TyXRV5UhSU5OW9jG5v7yH2byGgAFm9E9WffIB2Hvm0NqHF20uhlmt\nVntgpGRd/r605lnJy/qV/MweeAafR6Wxz2QyGNpg8dwEQPG54joJ5jILM/Fx88Fstfe6fTn6S8d8\nr87+nfE1+HKp8BIAC7tVnIfrSuyEWH498ytuGrfqMzcx5YdZc832rZqqCuYC3AMabTDXmFazStdg\n7NixWK1W+vXrx2OPPcb48eN55plnqnzGaDTy888/06ZNG0aPHk2nTp2YOHEimZmZjgArOjqauXPn\nMmvWLHr27EliYqLTwobK/O1vf2P58uWsXLmSrl27Mnz4cA4ePOi4/9prrxEXF0fLli3p2bNnpWX8\n5S9/4Y033mDp0qWEh4cTExPDW2+95bT4oTre3t68//77RERE0LVrV77++mvWrl1L69atXT4TERGB\noihEREQ4gqaoqCisVmu18+VmzpyJTqcjPDwcf39/kpOTa1zXmli4cCFm85/bQf7cuXP07NmTnj17\ncuLECVasWEHPnj159NFHa6mWktQ4paa+R0BCKGaaYYxy/TOgPOeeOedhVpvNAjYbtsJMECCyLw82\nWXOtFC59iwLRBp8Rl1e3GgxtUXlfBKA4xfX83T8js8gezM0dNBeAMO8wxz2VouLWlva5yCM7jqS5\noXmNyw31DuWhbpVvrtzUadVaxzBrTrF9nnlVwVx73/ZOmww3KjXZv+R6+bge95l78sknndJycnIa\nqDb1Q7avfsl95q7e9d4+IZpWGxMS2or0dn1EHHEifU16jZ5JSnpV7F3gLuKIE8lPxDnSz+1/RVzq\nqYhLhn5it2qFSFhhECd41LGP3KWdKeJIzygRR5zI3pHteK6w8Iw4NsYk4ogTB/ptuqr622w2IWy2\nKvMUlhQK5iIW/LzAZZ5FWxcJ5iLGfD2mSf33u1Y1aePkbyYL5iIu5F8QB9IOCOYi1hxcUyFf2R5z\nD3z1gOjwRoc6qK1rNMF95iRJkiSp1gghEOdTKDluX9lt7GSs0XNqtQmhtQ+vinLHeeX9sgqf3wQH\niuaTa+uA8YcuWLk8/FiQdgxS7KvW3btfXmyl14dgvJQHwMUdemwFNVtNarUWcfK+QNLc7oAqFk5l\nFmYC4ONWcepKmYhQ+7w5k7ZpnYVdl7Qq+/SZ1jGtq+yZ+/z+z3mizxOEmELkMKskSZIk1SeLJRvv\nhCLSGYKhlQpjeE2DOXeEzj4xvvwwq6rAQjG+CGE/ElF1oCMlXF5EVphyArK9UGlKULtdnkunKCrM\n44YTwrcAWC8W1KgeGRnfkPPNLI6Y/x9Fv6W4zJdZZA/mvN0qX9AG0Cu4F95u3tflqtRrVXZWa545\nr8pgLrprNMtHLCfEI4Q8cx65xY3v6E8ZzDVh8fHxvPnmmw1dDUmSpEbJbD6Hx5ZAsuhJ4KOtqt1f\nroxabXIEc7byc+byCzhPudX6KS3JpSNab3ugVZx2DmuJB1qDpUKZYWO/p3iw/fQEa2bN5s0V5Z/E\nhn217KWvK+43WaZsg2Afg+ueOZ1ax29TfuO5W5+r0btvBFr15YVtZcGch971St8QD3uva2PsnZPB\nnCRJknRdKiw8TuFhe/AVNKHmPVJqtbv94EisTsOsSn4haQxHHX4ST+V3CgvbUUgL9J3sB9Kb0zKw\n2jzRule+AlYx2IdXrVmuT5UoT2RfQI39hAI3/UWX+WoyzAr2RREmnRxmLVM2zAo1WwAR4G4fri/b\nx68xkcGcJEmSdF0qyD5IXnYfPIIzcQut+dYaarUJoQYVFkTJ5Q3RLcnBFBBGswdVaPQXyKctAG7d\n7Cfn2NJyKMETjUflm6g7grnsmq1Ot2VdxEwz/PgZn2anXeYrG2atqmdOqqiynrmqgrmyTZfLNlJu\nTGQwJ0mSJF2XLEf3UEQgxta6q3pOrXZHqEG5IpizXrQPwXn2a4Hao6x3xoqup327CnHBSgmeaL0q\nH85V3O3Dr9bsmg2ziuyLmPFFx0VEM9fDfzXtmZOc2cTlXteyYK6qnsuyvfbKjjhrTGQwJ0mSJF2X\nbKeTKMYft3YVj/GrSlnPnIIFW2kwJ4QVCuzz1wy+LVE3s89hU2lsqAPcUFGEKtuABU+0PpUf16Uy\n2odfa9ozJzKzseDJpaFZmP8a5TJfTRZASBWVnf4A9k2D3bXuqBTXYZFBa9/sWfbMSZIkSVI9sR6z\nAGrc2l/d0XYqVVnP3OU5c1ZrPhTae2YMviG4tdwJgHtgIYqnN2oKUHLdKcEDTbPKT4xRTKVl5VRc\nIFEZ23n7sKzwyqekJMNlvszCTNy17k7DhlL1rLbLcxsLSgpw11Ud9Dt65kpkz5wkSZIk1QvraXsP\nmb6z31U9d3nOXAmidEs4qzUPCu09MxpPPerHh9Cu3xd0+XEAiocXagqx5vgDarT++krLVUylPXO5\nNdtnTqSX7nXnk0dJSRULIIoy5Xy5a2AVzsFc2Zw4Vwwa2TMnXQcWL15MWFiY43ru3Ll07Vr9odVV\nWbVqFSZT01pdNWnSJO6+++4q88THx6MoChkZrv+aliSp7litBXDe3tOia3d1gY5abUSoQE0R1qKy\n8vIQRfZf5mp3NS1HrabF9rdxC/dD8WyGmkIsBcEAaAMrP3tVVTrtzZpbs545cdE+987mk+symLuQ\nf4EvDn7h2DZDqrkre+aqC+bknDnpujRz5ky2bNlS4/yKorBmzRqntOjoaE6ePFnbVatTMTExfPLJ\nJ47ryMhInnrqqVop+6677kJRFKfy4c8HvStXriQiIgJfX1+8vb2Jiopi69atf7a6ktRo5ebuQbno\nC4AuuPKeMlcURYVQ6+y9bYX2gMpqzYNiA2BD5eb8q1Pl7oOWLIrN9mBO06bynkDFQwFsWLIr37qk\nPIslD1tG6bCsfx770vax+eTmCvlW7l1JkaWI14a9dhUtlOAaeubknDmpsfizB7aXZzKZaNas2Z8q\nw2AwEBAQUEs1qh9eXl54e9fdRGM3Nzdmz55NcXHtHcgdHx9PdHQ0sbGx7Nixg44dO3LHHXdw7Nix\nWnuHJDWEgvP7sJ05VSE9Pf0LRE4zwIrWxRy2qgi1G2oKsB46CVlZWK35CLMbanVxhc2H1RoPWrh9\nhsC+alYbVnlPoOKmQ0MuJVnVB3O5ubshy/4HnMpPxTuJm5myYQqfJn7KTyd+Auw9Syv2rGBw68EM\nbDXwqtt4o7tyAUR1wZxebf+jQM6Zk2pVZGQkU6dOZfr06fj4+ODj48Ps2bOxlTvDLywsjLlz5/Lw\nww/j7e3N2LFjAUhJSeHBBx90PDdixIgKv9gXLVpEUFAQJpOJCRMmkJeX53S/smHWjz76iG7duqHX\n6wkMDGTSpEmOegCMHj0aRVEc15X1OK1YsYJ27dqh0+lo164dK1eudLqvKArvvvsuo0ePxt3dnTZt\n2lToyZo/fz6hoaHo9XqCgoKYMGGCy69jv379eOWVVxzXY8eORVEU0tLSACgoKECn07Ft2zbAeZh1\n0qRJbNmyheXLl6MoCoqicPr0aUdZ+/fvp1+/fhiNRvr06cPevXtd1qNMdHQ0RUVFLF++vNq8NbV6\n9WqeeuopevbsSceOHXn77bfx8PBg06ZNtfYOSapvRUVnsEb0RNWqjSPt0sUfyO7ni/LuB4j8IHT6\nQhR1zU5+KM8ezBWSSwcsv+6zD7OaDag1Fee7qdUmPEx7CWYDALrAyrdCUfR6tGRTkln5PnTl5ebu\nQMmx/2y8+fYEAr37cDLzJGPXjmXYJ8MA+P749yRnJ/O3Pn+76vZJzsHcxYKL1QZziqKgU+s4kH6g\nrqt21WQw18StXr0am81GQkICK1asYNWqVSxbtswpz5IlS+jUqRO7d+/m//7v/ygoKCAqKgo3Nze2\nbNlCQkICwcHBDBkyhIIC+5mBX375JbNnz2bevHns3buXjh07smTJkirrsmLFCqZMmcLkyZM5cOAA\nGzdupEuXLgDs2rULsA/3paamOq6vtG7dOp566ilmzJjB77//zvTp03niiSdYv369U7758+czcuRI\n9u/fT3R0NA8//DBJSfajcr7++msWL17MW2+9xbFjx9iwYQN9+/Z1We/IyEji4uIc11u2bMHPz4/4\n+HgAtm3bhlarrbSMmJgY+vfvz+TJk0lNTSU1NZWWLVs67v/zn/9k4cKF7N27l2bNmjF27FiEqPoH\nuclkYs6cOSxYsICsrKxK8yQnJ2Mymar8mDp1qst3mM1mioqK8PGRk6alpisrKw7jMT1/8AwXW/Yg\nqdM0TndM4Leda8l47UMyc/phCsi+prKF2oCaImy4kfh3sz2YsxhQ6Sr2qglhwWKEdrxB9yVqDG0q\nnzOHzg0tOZRkVf0z4FLSN9jmzoaMVihY0QZoK+x/diH/Av879T8MGgP3drz3mtp4oys/zJpRkFFt\nMAdgtpr55sg37EzZWZdVu2qahq5AY3VsxjHy9uVVn7EWmXqYaL+s/VU9ExwczOuvv46iKHTq1InE\nxESWLFnC3//+d0eeQYMG8fzzzzuuP/jgA4QQfPjhh47hghUrVhAQEMCGDRt44IEHWLZsGRMnTmTK\nlCkAzJo1i7i4OI4fP+6yLi+//DIzZsxwenfv3r0B8Pf3B8Db25ugINfH6ixevJjx48c75qB16NCB\nPXv28Morr3DPPfc48o0fP55x48Y53hsTE8Mvv/xCaGgoSUlJBAcHM2zYMLRaLa1ataJPnz4u3xkZ\nGcny5cuxWCycOnWK7Oxspk2bRlxcHA8++CDx8fEMGDAArbbiUI2Xlxc6nQ6j0Vhpu15++WWiouz7\nQ82ZM4eBAweSkpJCixYtXNYH4PHHH2fZsmUsXLiQhQsXVrgfEhLCvn37qizD09P1dgyzZ8/GZDJx\n773yl4DUdGVmxmLhTlK5l9Szzv+WjZwhh040v9X1KtAqqd0Q9jO9yP5DR5A1D5vFgNrdViGrzZaP\n1Qh4gO/T/V2XqTegJYuinIo9hQXp+9BfUlB3uomU//yVbh/CPjpg8khD7abGQ+e8afDPST+TW5yL\nj8FHbklyjcqGTQEuFFyoUTBXZlvyNvo2d91JUN9kz1wTd8sttzjN3+jbty8pKSnk5OQ40q4MZPbs\n2cOpU6fw8PBw9OJ4eXmRmZnJiRP2Y2kOHz5M//7OP5SuvC4vPT2dlJQUBg8e/Kfac/jwYW699Van\ntIEDB3Lo0CGntO7duzs+12g0+Pv7k55u35F99OjRFBUV0bp1ax555BG++uqrKuefRUREUFxczK5d\nu4iPjyciIoIhQ4Y4eubi4+OJjIy8pvaUr2dIiH21WVk9q6LRaFiwYAGvv/46Z89WPGBbo9HQrl27\nKj9czUWMiYlhxYoVrF27tsqAT5IaMyEEmZmx5NLZkdb2xwLazf4E06PP4/7Cy0RwD82ian6Ml1P5\nai0W7L/c1Tp7z5zVakJjrNgz5+d3P9m3NcP29OOgcd1HUjbMas62kffyw5CbW9oWK8XDe6Lu3AOE\nQJsNWdxEFjfhE2I/XeLKA+C/O/odmUWZ8qzVP2HR0EXM7D/TESgbNTUP5vaf319X1bomsmfOhavt\nIWvM3N2dN0K02Wz06NGDzz//vEJeX1/fa3pHdUOHV+PKycWVpV3ZS6YoimOuYMuWLfnjjz+IjY1l\n8+bNPPvss8ybN48dO3ZU+FqAfVizV69exMXFcfDgQaKioujfvz9JSUkcO3aMXbt2sWjRomtqS/l6\nlrWh/JzGqowePZrFixfz0ksvERER4XQvOTmZ8PDwKp8fN24c77zzjlNaTEwMs2fP5vvvv69y6FmS\nGrvCwqOYi1Mwq3zQKtl0+6QZnkPvgqF34Z4Zi9HQGfokwNCh11S+UClYS4M5jc6M1ZyLRYRgrCR2\n0uuDaLmiBtsQ6QxoycaSo+A+50NIVsPKlZSUXMLnN3uW5I2TaLfYwC5ewE2TTquR9hGi8j1z/Vv0\n5+P9HwPQK7jXNbVPAl+DL68Oe5WMwgxW7Vt1VT1zv575tQ5rdvVkMNfE7dixAyGEI1DYtWsXISEh\nVfa49OrVi88++ww/Pz+XqzI7d+7M9u3befjhhx1p27dvd1lmYGAgzZs3JzY2lqEufnhqtVqs1qpX\ncXXu3JmtW7c6vXfr1q3VBi5XcnNzY8SIEYwYMYIXXniBoKAgtm3bxrBhwyrNXzZv7vDhw8yYMQM3\nNzf69evHggULXM6XK6PT6apt17VatGgRgwcPrhBkX8sw65IlS5gzZw4bN25k4EC58k1q2rKy4lEX\ngMVmwqODwPPBy/+mfXxKRwjuv//aX6CoAfsfqSq1FVteJiV0Qut57d/rit6IlmSE0GHFgObCBQDM\n5vOYaU0WPbF98THn+QvFBNHjx65oIqMB5zNDu/h3IeFsQoV06drc3/n+GgdzQ9oMYfPJzRy7dIyM\nggz8jFe3IXVdkcFcE3fu3DlmzJjBE088QWJiIq+//jqzZ8+u8pmxY8eyePFiRo4cyfz582nVqhVn\nzpzh22+/ZerUqbRv357p06czYcIEbr75ZiIjI1mzZg07duyosudu1qxZPPPMMwQGBjJixAgKCgqI\njY3l2WefBewrWmNjYxk0aBB6vb7SyffPPfcco0ePpnfv3gwbNoxNmzaxevVq1q5dW+OvyapVq7BY\nLMlXuRcAACAASURBVPTr1w+TycQXX3yBVqulfXvXva2RkZG89tpruLu706tXL0faggULiIqKqnS+\nXJmwsDB27tzJ6dOnMZlM19y7WZlBgwYxfPhw3nzzTdTqy+c9lg2z1tSrr77KrFmz+OSTT+jQoYNj\npa7BYMDLy6vW6itJ9aW4+CzuJxXMeGEIvrqzV2tGoTP/Zgef4uaZhS0nq/Tc1WtbUAGguBnRYn++\nBG80pb30JSXpXGQ4Z3mAlrlbyGYARk7jHRXpeLb8MOuioYt477f3ABnM1YahbYbSNaAr3QO7V5v3\np/E/cfTiUbaf3e40566hyTlzTdzYsWOxWq3069ePxx57jPHjx/PMM89U+YzRaOTnn3+mTZs2jB49\nmk6dOjFx4kQyMzMdAVZ0dDRz585l1qxZ9OzZk8TERKeFDZX529/+xvLly1m5ciVdu3Zl+PDhHDx4\n0HH/tddeIy4ujpYtW9KzZ89Ky/jLX/7CG2+8wdKlSwkPDycmJoa33nrLafFDdby9vXn//feJiIig\na9eufP3116xdu5bWrVu7fCYiIgJFUYiIiHAETVFRUVit1mrny82cOROdTkd4eDj+/v4kJyfXuK41\nsXDhwj+9P+Dy5cspKSkhOjqa4OBgx8f06dNrqZaSVL9KSi7hfcxACV5o29fFXpUKBlLx5CDCArbz\n+Qg0aHz+RB9I6TArQAleiNIefbM5HQv2gNRyvCdFBOKO89555YdZfQw+jO8+HpDBXG3Qa/Qk/i2R\n6K7RNcrfoVkHJtw0ocI8xoYke+aaOI1Gw5tvvsmbb74JQG5urlMPTvk9z/4/e/cdX3V1/3H89UnI\nJIRN2EMQRREHoOJAUHG1uK2jWq0oah1VWwdWrdaqtbbW1jqwreKWOn6tu9YRqygqDhAQkSGy98iE\njPP749wv9yYkEJLcmffz8Yjnu7/nmHDzyZmRCgoKePTRR7f77AkTJjBhwoQax2655ZYa25H7AOPG\njWPcuHF1Pm/s2LHbBGXnnXfe1rnoAhdffPF2p9Woq39eZDlPPPFETjzxxHrvr0teXh4VFTXnjxo1\nalSd75o0aVKN/YEDB/LRRx/VONa3b99t7q3rWG2vvfYabdrU/IAYPHhwk5tx6/s5EElGKz78HRXn\nbKL9qt2oojUZfaJRu5wW+u8WqivTqZ7nR8VmNKEWMC07l1bpG6HKB3PlJfPIWrOczIefpwo/Z+fm\npfuxmc50sJpTX+Rn+W4Th/U5DGDr8l07089LUpeCORERSRqbNk1j0zkfsnrB1awOHWuzXzRqSCz0\n3wqqK9NwX6wEIGNI/TX8O5KWng1tN8I6H8yVlXxM9QO/ov2vX+B7DgRg44ZDqCaH7F9dVOPefbru\nw6QTJnHKHr4f4MCOAwFYVrSs0fmR1KFmVhERSQoVFeuY89kpFC84cuuxXocsoeNxTVtWsG4RNXNV\nRqv5vu6jVf/GvystLQtCfe6WcAprVpyEfeWnXQqaWaucD0wze9eceNjMOHefc7c2qx7Y0wd/c9bM\naXR+JHWoZi6JBfOgiYikIueq2LJoBlnd94TMTBYsuI7sj5exgYF04n+04wt63FB/l4ym8TVzQTBH\nkW/mzOjQ+Al6zTKp7FiCza+kmIEULxlIn9lnAD6Yy2URpfQBILPn9vvC7d5pd07a/SQuHX5po/Mj\nqUM1cyIikpAWL/4Ttt9+FI8Yy9oXl1FU9Dld3tqTarLJ2O0TevIvbFi05lk7h3XDII0K32eu1PfL\ny+jY+GAuLS2Lig5sHQQBkPGtbyyuJI9cvtt6vFWX7feFS7M0Xjz9RY7YpWkTtUtqUDAXoTknvhVJ\ndvr3IPFWsvZTWq1vxbTPJ/DVKXPZ8t0G7AM/4r7dH2+h4tP/QWipwOa3B/bmu1S120J1dTqu3Dd/\nNmU0a1paFhXtwBExCXpFOuvZlypak5m5euvhVk2oAZSWR82sIRkZGZSVlZGbq5FBIgBlZWXbnV9P\nJNqyi3P5nrO27uffOZjVm4eS0c7Recx+pGVGtz4iLS0DS6vAVWdQvaUd6a22NOmdZplsaQ8VhOei\n/I5z+Z4f+522JQSjOlq11a9naTjVzIV06dKFpUuXUlpaqhoJadGcc5SWlrJ06dJ613cViYWq5ctY\nzOnkDZ5FJqup/HwUaziYrhf0inogB2DWCkvfQnV1JlVb2tIqq2nzPaalZVFRa670pYSnUapuX7x1\nOz0/HZGGUugfEix9tGzZsm3mG0sm5eXlZGc3bmHpZKDyxUZGRgYFBQXbXRZOJNoq52+milzyD0ln\n89yZrN0yGoBu47vH5P1mrSB9C85lUF2ZQ6s2lU16XlpaFlvawT5cyQIuYBODqSI8b11lp00wN3Rt\nK9W1SMMpmIuQn5+f9L+8CgsL611dIRWofCItQ1VVKemvbwAgb3AB1uG/sGI02W1LyN01Nt1hzFrR\nKnM9kEZ5ZTdaZTWt1cbM18y1Yzq9eJZZ/JbsjEWUV/gRrJVdS5oh19ISKfQXEZGEs3bty2RP6wFA\n/qH7kb7rdAB6HF0eszyYZZCZ55fnK3W9Sc/ZwQ07kJaWyZZ2fjszNKK1bf8Xtp6v6FZMOz4nPa2s\naS+SFkfBnIiIJJyKijVs3tIdS6ui9Z696fKvyQy+6V16/v2omOXBrBWZrReF9tJJb2KFYDCaFSCf\nWQzmRtJHv7r1fFWXMvbhFxx6xZtNe5G0OGpmFRGRhFNZtpbNVT3I7rgZSzfyOgwl7zdDY5oHs1ak\n56wlnRKqaE1abtMGJZhl4VpBZdsM0iszyHv7er5ZPhYe9OcHnPg0jNkCw4c3Q+6lJVHNnIiIJJzq\n9Sspowc5BVVxy4NZK2gFufim1vSOTWtnTUvLAqCqYw6WmUX2AT8kLacdmaH5SPK77QUjRkAr1bPI\nzlEwJyIiCad63WofzPWMXx7MMnDpkItvak3v2q5Jz0tLywSgqmMeZPrtjLzu7MMv6MPjZHTSvI7S\nOArmREQk4VQtKqeKXHL6ZsYtD2atQsFcqGaue/sd3LGj5/mauepO+RCakDszrxe5LKYfj2Jm27td\npF6qyxURkYSxZcsq5n5zMR1/txSAnF2bOIS0CYJgrnUQzLVtWmCZnp5N3763kX5ZD1ji5zPNzIpj\n1aOkDAVzIiKSEDZt/JRV1+5P+peHs3jh5UAVrfftsMP7osUsA9cKclkINM8SW3373gh9w/tZWT2a\n/EwRNbOKiEhCWPLWz2j/8HBWfnITLiebgRfMIvvwveKWn3Az6zL2OOJ/dDm9+Ze3y8kZAIDr27vZ\nny0th2rmREQkIWSuh2WcQEZ2KcOX/oC09m3imp8gmAPocmQmNEPNXG1dupxJ8edtyOt7WLM/W1oO\nBXMiIpIQqheWs5YD6X12XtwDOQCz9K3BHP37R+UdaWmtyNv3xKg8W1oONbOKiEhCqJrbGkin3Zjm\nb85sDDPDBVUeUQrmRJqDgjkREYkJ5xwLv7yC9a13ZZ3tT/Wnn0ecq6Z6aVsAsvdOjGAOoFrBnCSB\nmAZzZjbSzF4ys6Vm5szsvFrnbzOzOWZWYmbrzextMzuo1jVZZnafma0JXfeSmWlst4hIgps//xpK\nHn6W6aUPMYPfs/iy9wFY8Nd9Ke+Tift6T6Ca7L7xm46ktrxL7mHzA7+Ftm3jnRWResW6z1weMBN4\nPPRV2zfApcBCIAe4CnjDzHZ1zq0MXXMvcAJwJrAWuAd4xcyGOufit+6LiIjU4FwVixffQ/cZfSEv\nnxVF99DrydNZQzrZLOe7aYOpvO4fZH8xh6rFvVjDD2nbZSVpWYnTaNR5/6tg/3jnQmT7YhrMOede\nA14DMLNJdZx/MnLfzK4GxgH7AP8xs7ah/Z865/4buuYcYBFwJPCfaOZfRES2r6qqlJKSWeTPS6eo\nazEL5l9L77HgMDp1O5OFRefTevdy+qVfyHez7mHx7weSy0OssZWkp21mzwc6x7sIIkkncf78qcXM\nMoHxwCbgy9DhoUAG8GZwnXNuMfA1cFDtZ4iISGytWPEos17bHzd8OOkTJ5G1EjYxiPd4hxXLL6Tz\nvhvZ95PDqbzhNHY9+xXy07+klD6sd/vT65ZBZJ5yZLyLIJJ0zDkXnxebFQOXOecm1Tr+Q+BZIBdY\nDpzknPskdO4sfPNshovIuJm9A3zrnLuojveMxweFFBQUDH322WejU6AEUVxcTF5eXryzETUqX/JL\n9TKmevlgR2W8n17PPE/Owz+ghF2ovvw+Nt93B+sYgbXagnszEyKWIG375k/ZeOejfudV/Cd/Akjl\n72Mqly2QKmUcPXr0Z865YTu6LhHnmXsX36zaCbgQ+KeZjXDOLd/OPQbUGZU65x4GHgYYNmyYGzVq\nVPPmNsEUFhaSymVU+ZJfqpcx1csH2y/jzJn3kf3SMObySwAG3TeTOQwln1kMem4YOaMPqHH9lyv9\nR3cWKxhx3BlRzffOSOXvYyqXLdASyhgp4ZpZnXMlzrl5zrmpzrlxQAVwQej0CiAdH+hF6gKsRERE\n4sY5h/vPNL5fcQ3ZLCWNMuZyNY5M+r/7A3JOPGCbe6p6tGd/fsIw34AiIo2QcMFcHdKArND2Z/jg\nbkxwMjQtySDgw9hnTUREAsvm/InqCRexmY50fuh7CnibKvLI61ZM21F967ynU6/TyWUxaYcMim1m\nRVJITJtZzSwPGBDaTQN6m9k+wDpgA3At8DK+r1xn/DQlPYF/AjjnNprZP4C7zWwV4alJZgBvxbAo\nIiICrF7wBFt+/BBFwwdR8XQ+6yuOZ8BlFbQ961gqLx7Hcn5Itx+3r/f+3r2vo3zxcWR33DWGuRZJ\nLbHuMzcM3ycucGvo6zHgZ8CewPlAR3yg9ikw0jk3I+Keq4BKYDJ+Lrq3gZ9ojjkRkVj5kg37H0vF\nuuNYvGI4m0puh6n+TI+jVtPzvtOoqipn6a+3sMcn/0enO/9U75PMjOyeQ2KUb5HUFOt55gqpMY5p\nGyc14BnlwOWhLxERiTGrmE7ap72ZFfExvPupn5B14ljanXkYAOnp2fS+5at4ZVGkRUnE0awiIpLA\nslYt4mt+RXr2WtqWz6XjkE10fe7OeGdLpMVSMCciIjsl89sSNtGbvj/ZSKeDN5P3w2vinSWRFk3B\nnIiINFhVVQmZU1oD0P7IgeSddkKccyQiyTA1iYiIJIgVSx7BFY6kVatS8n44MN7ZEREUzImIyE4o\nfvNhNlbuR6fD0kjPSY93dkQENbOKiEgDlZV9R9W0pVSST94hHeOdHREJUc2ciIg0yKpVz5A2vzcA\nuQd2i3NuRCSgYE5ERBpk1aqnSVu2JwCt92oT59yISEDBnIiI7FBp6VxKN87ELelFWloZmd0z450l\nEQlRMCciIju0adMndH8hnU1Fu5LWowKz7S3mIyKxpAEQIiKyQyWL/kf13y+hhP5wnot3dkQkgmrm\nRERku6qrK6m67wOWV55Cj7Oy4XDVyokkEgVzIiJSpy1rFsLmzZSXL8Q+7QFAtwmD45wrEalNwZyI\niGxj6aL7Wdd5PGtGXUZ5+SIqV/fHrJLc3XLjnTURqUV95kREpIby8iVsuuI+VvIQTIUOQ6ZRsn4U\nrTutIy1DdQAiiUb/KkVEZKuqqjJmzTiRylfPwNhCD55n/dIhbKYrbfpVxTt7IlIHBXMiIrLVvG9u\nIOu52ayvGkHB4WspeG1Xel7yK9rmfknXy3aNd/ZEpA5qZhUREQD+eOlSjnqoLRurn6GaLLpefzj5\nYwrIP/bn8EC8cyci9VHNnIiIsGwZvPz8t2zKHEB+1+/Y++VdaTemIN7ZEpEGUM2ciIgwfTq8t2oU\nlYXV7DXSYZYe7yyJSAMpmBMREWbM8OmQIWlopS6R5KJmVhERYcYM6N0b2rePd05EZGcpmBMRSSIl\nJVBa2vzPnTEDhgxp/ueKSPQpmBMRSSInnAAdO8KmTY1/RlUV/OlPsG6d39+8GebMUTAnkqwUzImI\nJLi1a+Gii/wghbffhvJyePJJ2LgRvvjC7595Jlx9dcOe9+ab/trLL/f7X38NlZUK5kSSlQZAiIgk\nuLvvhocfhqefDh/729/g3Xfh+ed9Td3atZCf769N38FA1Hfe8en774Nz4cEPe+8dnfyLSHQpmBMR\nSXDffuvTUaOgQwcYNAgmTIAvv/TH166Fww/3QdqUKTBy5PafN2+eTxcv9oHcjBmQnQ0DBkStCCIS\nRQrmREQS3OLFMGYMvPyy33cO9tsPCgvhzjv9saefhsGD4YEHdhzMLV8O++wDX33lU4BevaCVfiOI\nJCX1mRMRSXDff++nDQmYwVFHwR13wHff+ebSggIYONDX0pWW+j5xZ51V9/NWrIC99oLhw8PHjjgi\nqkUQkSjS32EiIglqwgQ/WGHlyvqbQPv08V8ArVtDURHceqsfrQo1+9mBr9Vbvhy6dfPNtVOnwl//\nCuecE71yiEh0KZgTEUlAzsFf/gJdu8KFF8Kll+74nrw8X+s2ZUr4WHU1pEW0waxbB1u2+GDu8st9\nc+1RR6FVH0SSmII5EZEEtGyZby79xS/gZz9r2D15eVBcDKtXh4+Vlfkau8CiRT7t08ePej366ObL\ns4jEh/rMiYjEyMcfw/nn+9qyHfnmG58OHNjw57duDQsX+tq54L6SEvjoI/jsM7+/cKFP+/Vr+HNF\nJLEpmBMRiZGJE+HRR30fuB35178gMxP23bfhz8/LC28feqhPS0rgoINg2DDfvFpY6I/37dvw54pI\nYlMwJyISZSUlPn3vPZ8uX+7TLVvgkUfqrql75x0/HUnHjg1/T2Rz6kEH+TRyHdesLD/YYcgQaNeu\n4c8VkcSmYE5EJIq+/NLXmP35z7BggT+2YIFf0SErC8aNg6ee2va+FSvCo1QbKqiZ69HDT1UC4UAy\nMHkyfPDBzj1XRBKbBkCIiETRtGk+vfLK8LEzz/RroQaCAQtTp/qJfzMz/XxxXbvu3Ltycny6++7h\nWrqiovD5UaPgRz/auWeKSOJTzZyISDP58EM44YSDuf12WLPG18otXrztdZWVcMghNfevvhpGjICH\nHoJVq/zxnQ3m1q/36Q9+ALm5fnvZMp/eeCO88srOPU9EkoNq5kREmsmrr8KmTRnceKMPnsCvpRo4\n4gjo1Mk3dV5xRbi587e/DdegPf00TJrkt3c2mLvkEj9f3KWXhtdzXbLEpwMG1OxTJyKpQ8GciEgz\nmTYNBgwoorKyDd9954/tuScccwyceqofdNCmjV+hYbfdwvcVFcFpp8Fzz8EXX/hr9t3Xj0DdGR07\nwq9+5beDmrl583zavn2TiiYiCUzBnIhIM/nuO+jZs4wTTmjDVVf5JtaePbe9LjKQC0ya5IM5gGee\n8U2lTdG9uw8eH3nE96Xbe++mPU9EEpf6zImINJN16yA/v4Kf/9yPIq0rkKvLlCnhmjTwS201VVYW\nXHcdjBzpJwze2ZGxIpI8VDMnItIMqquDYK4Ss5rBWX2Cka5Dh9Y83hzBHMD11/svEUltDQrmzCwH\nuBY4BdgFcMAC4Dngj865sqjlUEQkCWzc6AO6/PyKBt9TO4gLdOnSTJkSkRZhh8GcmbUC3gH2A94A\nXgUM2AO4GTjWzA5zzlXW/xQRkdRTWQknn+wHHpxzjj+2M8FcbTfdBH//O6SnN1MGRaRFaEjN3Hhg\nALCfc25W5AkzGwy8G7rmgebPnohI4po3D15+2W8/9phP8/Mb/3ftb37jv0REdkZDBkCcCtxeO5AD\ncM7NBO4MXbNDZjbSzF4ys6Vm5szsvIhzGWZ2l5nNMLMSM1tuZk+bWe9az8gys/vMbE3oupfMrIHd\njEVEms/s2T598UU44wzIyIDevUu3f5OISDNrSDC3J76ZtT5vAYMb+L48YCbwc6B2P7tcfFPu7aH0\nBKAX8EaoqTdwL77v3pnAoUA+8IqZqWFCRKKquhqcC+8HwdyYMX6y382boUcPdSEWkdhqSDDXHli9\nnfOrgXYNeZlz7jXn3A3OueeB6lrnNjrnxjjnJjvnvnHOfQJcBAwKfWFmbYFxwDXOuf865z4HzgGG\nAEc2JA8iIg1RVgYPPOCXyLr8cr9U1wUXwK67+lGr4NdS3X338AL3ZvHLr4i0XA0J5tKB7XUCqQ5d\nEw35oTS04iBDgQzgzeAC59xi4GvgoCjlQURaoOee88ti7bor/PWvcNhh8OijMH++D+wqKvz8cAcf\nHO+cikhL15ABEAY8aWab6zmf1Yz5Cb/ULBP4I/Cycy60uiBdgSpgTa3LV4bO1fWc8fgBGhQUFFBY\nWBiN7CaM4uLilC6jypf8ErWMJSXp/P73u3PSSUtIS4OXX+5OWloXWrcuZe3a1lRG/Ek7bdosvvjC\nsWHDYPr3/4rCwrVbzyVq+ZqTypjcUrlsgZZQxkgNCeYea8A1jzc1I5FCfeSexDffHt+QW/Bz323D\nOfcw8DDAsGHD3KhRo5opl4mpsLCQVC6jypf8draMf/gDXHONb/bMzo5evvbc0/eBmzKlM1VV/ljf\nvjBnTmtuuw1uvz187S677MnkyX7JrGuu2YtWEZ+k+h6mhlQuYyqXLdASyhhph8Gcc+6nschIIBTI\nPQPsBYxyzq2NOL0C36TbiZr9+LoA/4tZJkUkZu6916fLl0O/ftF5R1FReDBDEMgBdOjgl8W68kq4\n80647Ta/kP0338Abb8CECdQI5ERE4qHRa7OaWW8z28Os+br8mlkGMBk/oGG0c25FrUs+AyqAMRH3\n9MQPkPiwufIhIokjP9RzdunS6L1jSagjx6GHwogRPrA77jh4+GF/vFMn30fu0kv9/gMP+JGt558f\nvTyJiDTUDoM5MzvdzC6pdexBYCHwFTDTzHo05GVmlmdm+5jZPqF39w7t9w7VyD0HHIifdsSZWdfQ\nVw74Ea/AP4C7zexIM9sXeAKYgZ8iRURSTBDMTZ267bl//QsWLWr6O4Jg7re/9YMbBg2CV1+tudxW\nWlp4vdUNG/yAiF12afq7RUSaqiE1c5cTMY2ImR2JnzLkZuC00DNuauD7hgFfhL5ygFtD278BeuLn\nluuOr4FbHvF1esQzrgJexNfgTQGKgbHOuYjGERFJFUEwd8014aALfM3YSSf5fm0lJU17x+LFPu3V\na/vXZWSEm1UHN3R2TRGRKGtIb4/dgI8j9k8A3nTO3Q5gZuXAXxvyMudcIX6wQn122GTrnCvHB5iX\nN+SdIpLcItcpve02mDjRb2/YED5+6ql+Wa3G9l+bPdv3jevZgLVkgo4l3bo17l0iIs2tITVzecC6\niP2DqLkixCzqmRZERKQpli3zAw0OPxwuuwz+8Q+/HirAmtAERYcd5q+55prGv+fzz2HvvX3N245U\nVPi0qz71RCRBNCSYW4Jf0gszy8ePMp0Scb4jvqlTRKRZfPoprFzpgzjw/eKuv96PNH3hBXjoIRgy\nxJ+7/no4/njffy7SxIl+gt8dcc4Hc/vtt3N5VM2ciCSKhjRKPAf8xczuBI7B92GL7Io8DJgThbyJ\nSAv0xhtw7LF+O2hiXbAAevTwqzFcf33N6zt18uc+jBjPvmIFXHyx72+3ceP237dggb9mZ4O53r13\n7noRkWhpSM3cbcBH+NUY9gLOrjXY4Ezg1SjkTURaoLvuCm/fdptPg/nlgqWzIvvRdezo10YtKgof\nmz7dp5s2wYsv+tq3uixeDAMG+O2dDeYGDdq560VEoqUhkwaXAT/ZzvnRzZojEWmxpk6FwkK46SY/\nYe/48XDQQeEpQA4+GCZN8itB3HEH/PznUFAAbdrA5s2+P1tGBnwcGrI1cCCccgq0bw9//CO8+aY/\nduut/vyjj4bf3dDRqfvv72vy0qO1IrWIyE7aYTBnZkXUvVTWRuAb4G7n3H+aO2Mi0vLcdZcPvK69\n1te2gR/gEPjBD3xwd911vp/cFVf4423a+LS42N//zDMwciRMnuz7tq1fX3OC34su8ktxtWsXPpbV\nwFWmp06tv6ZPRCQeGtJn7rJ6jrcDhgIvmdmpzrmXmy9bItLSFBTAqlVw883hQK62bt1gypRtjwfX\nFxf77Tlz4PTT/YjT3/0u3M/u8cfhJz/x/eSqquD99/3xYKWHhjALT08iIpIIGtLM+tj2zpvZF8AN\ngII5EWmUTZt8IAdweSNmkAxq5iL7zXXv7tPRoY4gb70VnhR4/nw48kjfNNuhA1x4YePyLSKSCJpj\niehX8atBiIg0ysKFPp00yY9O3VlBMLdqla+dg3Awt//+UFoKOTmwZYuvVZs61QdyAOvWbfs8EZFk\n0hzBXDZQ3gzPEZEW6rvvfLrHHo27P2hmHT06HMRFzgOXk+PTzEzfnPvkk+FzJ57YuHeKiCSK5gjm\nLgC+bIbniEgL9e23Pm3swvWRqzGkpfkRrX361H1t9+5+kuD+/eHrr9X/TUSSX0NGs/6lnlNtgf2A\nXYCRzZkpEWlZvvzST/zbsWPj7h840DfV9u0LZWWwZEn9zbU9evhg7pRTGrZ8l4hIomtIzdxe9Rzf\nBLwOPOicW9h8WRKRlsQ5+OQT2Hffpj2nb1+f5uT4lSLqEzTDnnxy094nIpIoGjKaVZMCi0jUTJ3q\nm1mvvjo27zvuOD9QYvjw2LxPRCTamqPPnIhIo/31r34N1bPPjs37jj/ef4mIpIqGrM0qIhIVK1fC\nc8/BeefVP1GwiIhsn4I5EYmbd9/166n+pN7Vn0VEZEcUzIlI3Myc6Resb+gi9yIisi0FcyISN7Nn\nw4ABDV/kXkREtqVgTkTiZuFCP3mviIg0noI5EYmbpUuhV69450JEJLkpmBORqLrxRr9mamDdukze\neAPKy2H1ar8ig4iINJ6CORGJqttvh8JCmDLF77/wQg+OPRZuvtnv9+wZt6yJiKQEBXMiElXB8ln3\n3OPT1av9aIe77/b7++wTh0yJiKQQrQAhIlFVXOzT116DkhLfzLr33jBmjO8v19Q1WUVEWjoFcyIS\nNeXlsGkTHHEEvP02vPEGrF2bxT77hGvmRESkadTMKiJRs3q1T085BTp2hKeegsWLc+jaNb75B3DC\n9gAAIABJREFUEhFJJQrmRCRqVq70affucNRR8H//B1VVaQwfHt98iYikEgVzItJozz8Pxx4LixZB\n+/ZQUADz5oXPr1rl04ICuOoqOOAAuOGGr/npT+OTXxGRVKQ+cyLSKP/4B1xwgd8ePRo2bPDbJ54I\nf/mLH9wQ1Mx16QK77AJTp0Jh4UrMBsUn0yIiKUg1cyJSw+zZ8NZbfvuTT+CQQ/wgBgDnwte98kp4\ne+HC8PasWX7Aw8CBMGGCP1ZQEN08i4i0ZArmRKSGPff004YA3HCDn+z3tdd8f7eCAnjvPX+uY0ef\nPvEEtG0LP/85LF9ec3mulSshNxdat45tGUREWhI1s4oI4Pu3ffppeN85yMnx22eeCWb+2PTpcNhh\nsGIF7LcfnH02nH46ZGT4az/+ODxR8KhRUFoa02KIiLQ4qpkTEQDuuw9++MPw/ltv+T5ugeOPh7S0\n8KCG5cvZOsVIEMgBdOsGCxbAgw/CO+/ABx9EP+8iIi2ZgjkRAWqOQgU/lci6dXDFFX7/b3+Dzp19\nMFdR4QO2Hj3qfla/fnDxxb42LzLQExGR5qdgTkQAmD8fRoyo2eftb3+DP/8Zqqp8IFdQ4IO5V1/1\no1dPOCF++RUREU/BnIjgnA/m9t4bJk70x0aOhPPP99tpoU+Kzp3h3/+G22/3zalHHx2f/IqISJiC\nORFhyRLfpLrXXn5ww49+BI89tu11o0f7dNo0OPdcaKUhVCIicadgTkSYNs2nQ4f6qUQmT4a+fbe9\n7oYbwttaxUFEJDHo72oR4bvvfDpw4PavM4P99/fzx+3oWhERiQ0FcyLChg0+UGvbdsfXvv9+zZUg\nREQkvhTMiQgbN0KbNuGBDtuTmRn9/IiISMOpz5yIsHFjw2rlREQk8SiYExE2bFAwJyKSrBTMiYhq\n5kREkpiCORFhwwZo1y7euRARkcaIaTBnZiPN7CUzW2pmzszOq3X+ZDP7j5mtDp0fVcczsszsPjNb\nY2Yloef1jFUZRJLdypWwZUvNY2pmFRFJXrGumcsDZgI/B8rqON8a+BC4ejvPuBc4BTgTOBTIB14x\ns/TmzapI6tm4EXbbDW68MXysstKvANFTfxKJiCSlmAZzzrnXnHM3OOeeB6rrOP+Ec+5W4PW67jez\ntsA44Brn3H+dc58D5wBDgCOjmHWRlPDssz6ge+QR2LzZH/v+e6io0CTAIiLJylycZv80s2LgMufc\npDrOdQJWA6Odc4URxw8H3ga6OOdWRxyfBTzvnPt1Hc8aD4wHKCgoGPrss882c0kSS3FxMXl5efHO\nRtSofI3nHFx88VAWL86hrKwVhxyymuuvn8OsWW257roh3HvvF+y998aovDuSvofJT2VMbqlctkCq\nlHH06NGfOeeG7ei6ZJs0uCtQBaypdXxl6Nw2nHMPAw8DDBs2zI0aNSqa+Yu7wsJCUrmMKl/jvfkm\nzJ0LDzwAP/sZfPBBZ956qzMZGZCRAeeeu29MBkHoe5j8VMbklsplC7SEMkZKtmCuPgZogSGR7Xjh\nBcjLg3Hj/NJdl1zil+Zavx6OOEKjWUVEklWyTU2yAkgHOtU63gVfOycidXAOXn8dxozxy3FdfDFc\ncw189hksWAAnnxzvHIqISGMlWzD3GVABjAkOhKYlGYQfBSsidZg1CxYvhuOOCx8bMiS8fcIJsc+T\niIg0j5g2s5pZHjAgtJsG9DazfYB1zrnvzawD0BsIGnwGmNkGYIVzboVzbqOZ/QO428xWAWuBe4AZ\nwFuxLItIMnk9ND78mGPCx0aMgFatYPRo6NIlPvkSEZGmi3XN3DDgi9BXDnBraPs3ofPHh/bfDe3/\nLbR/ccQzrgJeBCYDU4BiYKxzriramRdJRm+/Ddde62viIueS69/f95d7vc6JgEREJFnEtGYuNM2I\nbef8JGDSDp5RDlwe+hKRHTgyNAPjQQdtey4FRu6LiLR4ydZnTkR2wvLl4e3x4+OXDxERiR4FcyIp\n7NhjfXrNNbDvvvHNi4iIRIeCOZEoWr4cpk+P3/vXrfPpiSfGLw8iIhJdqTJpsEjC2bIFevf2C9lv\n2eJXWYi1/HwfyNXVX05ERFKDauZEdtL338O558KGDX7/+efhwgtrXlNaCied5AM5gA/rmAWxuhqq\nojwGe/ly6NYtuu8QEZH4UjAnshM2b4aLLoLHH/e1brfdBqedBn//O5SX++CtshJ+9CM/5cf11/v7\nvvtu22cdeyzk5EQvr6WlvplVwZyISGpTM6tIA61aBQUF4f2iIrj55vD+woVw/vl+It4pU+AXv4DL\nL4ff/c4HerW9+aZPnYNbb4XBg6FT7YXqGsm5cG3hwQc3zzNFRCQxqWZOZAfuuQd+9rNwIBfZ9+3M\nM/1IUYCnnoKpU+GDD3wwtd9+kJ3tz23eXP/zly/3wdxpp8E33zTPxG8//jE8/TTceSccfnizPFJE\nRBKUgjmRHbjpJnjwwfD+okXhwO6JJ2DCBMjNhdtvr3nfwIHhYK52zZxz4e2PPw5vT5gwhBUr/Pam\nTfDnP+98v7o1a+CZZ3yged11O3eviIgkHwVzInUoLfUBV3Gx377ppvC5rl1hxgy/FFZ6OrRvHw7k\nxo6F/feHXXf1zaZZWf547WBu48bw9uTJ4e316zM59ljfNPvrX8OVV8Lnn+9c3j/5xKcXXQRW73or\nIiKSKtRnTgRYvNg3k159tR+tOniwX4D+6qv9+QED/CCG77/3AVLthenHjYOvvvJ96Lp1802xQSCV\nkbFtMLdqVXj7hRfC2336lPDll6358svwsWDUbEPNn+/TPfbYuftERCQ5qWZOWrxXXvEjUydM8AHQ\nkCG+j9sHH8Cpp/prunaFPn3g0EPrfkabNvCPf/hrMjNr1ohlZcGcOXDYYbB2rT8WTOa7xx7h6UsA\n9t9/3TbP3rRp58oTBH/t2u3cfSIikpwUzEmL99RT4e3586GsDEaM8FOHBIFU5CjWnZWdDa++Cv/7\nH8ya5Y+tX+/Ts8+uee3uu28buUU2yQbWrvWjaeuyYQO0bh2fSYpFRCT2FMxJi+WcHyjw7LPhY089\n5fvHvfACdO/uj3Xu7JtZGys7268AAb4PHoSDubFjfa1ez55w440watRqnnjCT3Py7bf+mtrBXGUl\nHHjgthMVBzZsUK2ciEhLoj5z0iKtXw8dOtQ89vTTfgRoIDj/ox/5mq7GCka0gm+K7dYtHMx16QJ/\n+IN/16mnQmFhuLYuGMUa1A5WVflrs7Nh3ryazbORFMyJiLQsCuakRZo+Pbx9//2+5u2oo2peU1Li\n0z59mvauyGDuxRf91y23+P327WH8+LrvS0/3QeTChX7//ffDK0qAH5CxcSO0bVvzPgVzIiIti5pZ\npUX6/e99umCBnxC4diAHflqQs87yU3w0RTA9SaQgmNtRv7aSEnjsMVi2zK8qETjjDJ9++um29yiY\nExFpWRTMSYuzYYNfNxWgb9/6r+vWzfehy89v2vsia+YCgwbBXXft+N6gqXfKFD+3Xb9+8NlnMHEi\npKX5QRW1rV7ta/xERKRlUDOrtDjLl/v05ptjM6lu7WDu6qt937eGvHv5cl/LdsUVPqgcONAvEwaw\nzz6+6TXSxo1+zjzNMSci0nKoZk5anGC5rFGjYvO+7Gw/YjVw9NENDyIzM/3AjA0bYO5c2GWX8LmR\nI/1asJHrvs6c6dMhQ5qebxERSQ4K5qTFCYK5rl1j876DD4bTTw/vd+y4c/efeKIfBQuw227h44ce\n6leWeP1136cOwtOZ7L574/MrIiLJRc2s0uLEOpibMMGn334L7723/X569TnrLL/e6557ho8dcohP\nTzrJz1O3eDEsWeKP9ejRpCyLiEgSUc2ctCjOwXPP+cENsR7x+dZbUFq68zVzgeHDITc3vN+lC9x9\nt19DdskSP/J16VLo1KnuQRciIpKaVDMnLcrkyfDRR77ZMhaDHyK1auW/mtMvf+lrGN991wdyS5ao\nVk5EpKVRzZy0KL/9Ley9N5x7brxz0nx69vTpkiU+oAv2RUSkZVAwJy3KkiVw2GF+dYVUERnMqWZO\nRKTlUTAnSemjj/wkujvDOSgqqjlNSCoIgrf58/2EwaqZExFpWdRnTpLSQQf5tLq64X3fysr89akW\nzOXk+JUiPvnE7yuYExFpWVQzJ0ln6dLwdjCvWqRZs8JTdETatMmnqRbMgQ/gPv7Yb6uZVUSkZVEw\nJ0nnX/8Kb69cue35wYOhV69tjxcV+bSpa60mop49Yf368LaIiLQcCuYkqVRXw5//DBkZfn/Nmobf\nGwRzqVgzF7nMl2rmRERaFgVzkjSefBJOOulgvv0W7rjDH1u7tuY1zm17X1WVT1M5mItcizUVax5F\nRKR+CuYkaZxzDmza5Kvkxo/3x2rXzJWX19xfsMDX4r3wgt+G1Azm9t03vB3ryZBFRCS+NJpVkkIw\neAHguut87VNOzrbB3MaNNfcfecTX1l19NXz/vT8W62W8YmHoULjrLmjfPt45ERGRWFMwJwlt+XL4\n/e+huNjvX3XVXO64YyDg1yZdvLjm9bWDue++82kQyHXsCAMGRC+/8WIG114b71yIiEg8KJiTqFm0\nCKZPh+OPb/wznnkG7r3Xb3foAMccs5y0NB/MjRwJr73m+8QFKzr86U817y8qgr59fQ1ecTHccoua\nIUVEJLWoz1yUnH8+PPFEvHMRP9XVPog64QTfj+2jj6B1621r0nbkww/9QvLr1/s55TIzwyMcjjvO\nD4D49FO/X1oKEyfWvL+42I/uDNZi7dev8WUSERFJRArmosA5ePRR+MlP4p2T+Pn88/D2pElwzTU+\n2JoypeHP+PhjP3BhwADfz61Dh5rnjzoK0tJ87RzASy+Fz7Vu7dNg+a5rr4VTTgmvHCEiIpIq1Mwa\nBSUl8c5B/EUGVpdcEt4uK2v4M6ZP9+kNN9R9vkMHOPBAH8wdcICvlevZE4YNg9mz/TVFRdCnD/Tu\nDc8/v3NlEBERSQYK5ppRaamfMmNnApZU5Bw89RQceqhvYg2aQaHuFRvqs3ixr3kbM6b+a8aOhQkT\n4Ic/9PvXXecHTWzZ4veLi1NzKhIREZGAmlmb0Wmn+SDmxRfDx/761/jlJ14++sjP6TZunF/8vbQU\nHnvMz/e2ciWccQb8+9/+2gULoKAA5s/f9jlLlkC3btBqO39ynH9+zf2zz/bvqajw+0Ezq4iISKpS\nMNeMfvlLP69Zt27hY5dfHp6stiW45RY4+GA/YvTkk/2xnBzff7BXL/jPf2DyZHjjDX/uiSdg1Srf\nr662JUt2vM5oly6+Xx34PnSDB0Nmpq+Zc87XzOXlNVfpREREEo+aWZvR6NE+zcmBM88MH//3v+Gq\nq+KTp1h7+GGfjhu3bY1Yr17w3nt+e/VqnwZrrAY1aZHWrGnYovEnn1xzGa+gZq683E9bopo5ERFJ\nZaqZi4IzzoD77gvvB02KLYFz8NOfwkMPbXuuf//wdrByQ9CEGvRxi7RxY+NWawhq5oK1WFUzJyIi\nqUzBXJREBiHvv7/tgvB1ycqCyy6LXp6aU3W1n/ctknO+nAUF4Ul8I6VF/LQFNXPByg6bN4ebRQMb\nNkDbtjuft6BmLniWauZERCSVxTSYM7ORZvaSmS01M2dm59U6b2Z2i5ktM7MyMys0sz1rXdPezJ4w\ns42hryfMLOFW28zPD29XV8Obb27/eud8bdL990c3X83l5Zdh4EB4/fXwsaIiH0R17Fj3PSed5NPR\no8M1c+vX+/SDD+DBB/00IkF/t6bUzFVUhNdzVTAnIiKpLNY1c3nATODnQF0TeFwL/AK4HBgOrAL+\na2aRv46fBvYDjgWOCW0n3FoLkQGEGXzzTXj//ff99BmRaq8pmuhmzfLplVfC00/DsmXh2sdOneq+\n57jjfB+2gw7ywVxVVTiYmzED7rwT1q3zI16Li30Q3JiaucxMnwbPVjOriIikspgGc86515xzNzjn\nngeqI8+ZmQFXAr9zzr3gnJsJnAu0Ac4KXTMIH8CNd8596Jz7CLgI+KGZ7RbLsuxIZM1cr141R7SO\nHAnDh9e8PqipSgbOwZNP+mbTuXPhxz+GY44Jl6G+mjnw9/Tp4wO1ceNq9idcssSnK1f6JlZoXM1c\nMKhi3TqfqmZORERSWSL1mesHdAW2Nkg658qA/wHBIkwjgGLgw4j7pgAlEdckhMhgbpddwvOoBR39\nly716a9/7Se8DfqQga+xSmSvvgpff+0DssD8+TuumQsEAyEeewwOO6zmahHg+w3uGWpcb2wzKyiY\nExGRliGRpibpGkprrxGwEugRcc1q58ITUTjnnJmtiri/BjMbD4wHKCgooLCwsDnzXK916zKAgwHI\nylrB7NntKCycysaN4eOFhYX85jejAPjsszIgB4CXXppC+/Z1zNXRAMXFxVEv4+TJ/YA+XHTRfCZO\n9JFZdXUV778/FxjEvHkfs3lz/ctgrFqVhY/L4eyzPyIrqwIYufX8xx9Deno1kMaGDdMoLAyPimhI\n+RYu7A4M5NNPFwC7MHPmVNasKW9MUWMuFt+/eEv1MqZ6+UBlTHapXLZASyhjDc65uHzha9jOi9g/\nCHBAr1rXPQq8Edq+AZhfx7MWAtfv6J1Dhw51sVJS4pxvkHTu+uudy8hwrrrauXnzwsedc26vvfx2\nXl74+MyZjX/vu+++2yz5357jjvP5di6c5zZtnLv3Xr+9du3276+qcu7YY5078ED//8Q559q1c65P\nn/Dzxo51rqho23sbUr6//c0/45e/9OmaNTtVvLiKxfcv3lK9jKlePudUxmSXymULpEoZgWmuATFV\nIjWzrgiltWvYuhCurVsBdAn1rwO29rXrzLY1enGV4yvZOOII6NrVj658553wCMvA+vVw3nnw1Vdw\n8cX+2KpVMc3qdjkHU6f6ReyDfmwrV4Yn8w2mGykq8oMg0tJ23DSalgavveaX/Qq+k0ceCRdcEB7x\nWlXV+IELBQU+DaZOUTOriIikskQK5hbig7Wty6qbWTZwKOE+ch/hR8SOiLhvBNCamv3o4s7MD3p4\n6SUfzIEPWGqPWl2/Htq3h7594dJL/bHI/nPxNm4cjBjhA8277/bH1q4ND3KInE/uj3+EDh1qzifX\nUM89BzfeCFdf7fdrB707o08fn371lR8MEfShExERSUWxnmcuz8z2MbN9Qu/uHdrvHapOvBe43sxO\nNrPBwCR8c+zTAM65r4E3gIlmdqCZjQAmAq84576p653x1K8f5OZC69bhY5FBSkUFlJT4YA78OqOQ\nWDVz//oXnHCCH9Dx/ff+2Nq14UEOQQAKvjZteyNZG+KAA3xNZVPm2wuCuQULVCsnIiKpL9YDIIYB\n70bs3xr6egw4D/g9fhTA/UB74GPgKOdcUcQ9Pwb+QnjU60tAQq+bcMQRPm3dumbNXDAPWhDMdezo\nl7cKpuiIt/Xr/dchh/jawmXLwstkBUHbH/8IBx/sm5B3263pI3EzMuDRR5v2jLZt/f/T9esVzImI\nSOqLaTDnnCsEbDvnHXBL6Ku+a9YBZzdz1qIqJwcuvNCvmrC9YC49HYYMgU8/jX0e6xJMp9K/P3Tv\nDjNnhqcfCYK5tDQ49VT/lUj69PH/fzVhsIiIpLpE6jOX0lq39k2qkWu0BjVwnTuHj40YAZ98khhz\nzUUGc926wZw5cMYZ/lhTm1OjrW9fn6pmTkREUp2CuRgJgrnIwQ3BaMuuEeN3DzzQL2UVLJcVT8Gq\nFf36wdixfiWLoiK45BIYM2b798Zb0G9ONXMiIpLqEmnS4JSWm+tXTFi2LHxs3jyfBlNpgK+ZAz8d\nyJAhsctfXebP94My2rTxwVswACIZqGZORERaCtXMxUgwonXRovCxb7/1fc4il7/aZRe//9FHsc1f\npMWLobzcB3PB0lvJRsGciIi0FArmYiQymMvO9ttff+37y0XO1Wbmm1rjFcwVFcHAgT4YKixM3mBO\nzawiItJSKJiLkdxcn65dC4MH++1vv4X999/22hEj4JtvwtfF0tq1vlZuZWg9jX79Yp+H5qCaORER\naSkUzMVIUDPXoQPccUf4eLB8VaThw30aj0EQRaEZ/XbbzadW70Qyia1dO7jiCj9wQ0REJJVpAESM\n9O7tA6OJE2H33f2x9PS6g43DDott3iIFwdxNN8E//wnjx8cvL01hBn/+c7xzISIiEn2qmYuRfff1\nC9Wfemq46W/kyJqDHwKZmXDzzT4gqa6OXR5nzAiPWO3bF/79b+jRI3bvFxERkZ2nmrkYys8Pp8OG\n+fna6tOuHTjn13Jt1y66+XIO7roLbrjB1yCC+pqJiIgkCwVzcZCWtuMlu4IAbsOG6Adzr7wCEyb4\n7WDqFAVzIiIiyUHNrAkqMpiLtjff9AM09t47fExTeoiIiCQH1cwlqFgGcx995Oe2i5zvTjVzIiIi\nyUE1cwkqCKY2bYrue6qrYfZsv3RYZACXlRXd94qIiEjzUDCXoHJyfFpeHt33fP89lJXBoEGwerU/\nNnZs8s4vJyIi0tIomEtQQTBXVhbd98ye7dM99oAlS/z2b34T3XeKiIhI81Ewl6CC9VujHcx9/bVP\nBw2C66/328HqDyIiIpL4FMwlqFg1s86eDQUFfpmxCy/0c84F7xYREZHEp2AuQcWqmXXJEujTJ7rv\nEBERkehRMJegsrL8IIRoB3OlpX6OOREREUlOCuYSlJnvNxftYK6sTM2qIiIiyUzBXALLyYlNMJeb\nG913iIiISPQomEtgOTnRHwBRWqqaORERkWSmYC6BxaqZVTVzIiIiyUvBXAKLRTOrauZERESSm4K5\nBBatYM45uOUWmDJFAyBERESSnYK5BJab62vOmtumTXDrrXDIIVBZqWZWERGRZKZgLoG1bw/r1zfv\nM52DZctqHlPNnIiISPJSMJfAOnWCNWv8iNZPPmmeZz73HOyxR81jCuZERESSl4K5BNaxI6xdC+ec\nAwcc4LfrU1q6/fOBd98Nb/fv71M1s4qIiCQvBXMJrFMn2LIFnn/e79c3GOKhh/ySXJ06wWeftdvu\nM6dPD29fdJFPtZyXiIhI8moV7wxI/Tp2rLlf3wTCM2eGt1euzK73edXV8NVX4f1zz/W1cscc04RM\nioiISFwpmEtgBQU19+urmSsr8xMMl5dDWVl6vc9buBCKi8P7HTvCpZc2Q0ZFREQkbtTMmsCOOALu\nuccHalB/MFdaCp07++3y8rqDuZkz4Yknah5Lrz/uExERkSShmrkElpUFV10FQ4bAkUfCgw/C/vtv\ne11ZGbRr56ccqa9mbq+9fGrmpycRERGR1KCauSQQTB0yaZKf5Le2YH3V1q1h1aosNmyo/1kFBXD5\n5fDGG1HJqoiIiMSYauaSQOQ8cKWlkJ9f83ywJFdeHvz3v10ZOhTmz6/7WUcfDX/5S/TyKiIiIrGl\nmrkkkB0xQLWu5b1KS30wF6zssGDBttd06QKnnAKPPBKdPIqIiEh8KJhLApE1cyUlPv3DH2DiRL8d\nNLMG0ur4rm7a5CcJruuciIiIJC/9ak8CdQVzjz/uJws2g9mza17TtWvN+7ds8dOW1G6eFRERkeSn\nPnNJILKZNQjmSkpg+fLw8chgrqqq5v1FRT5VMCciIpJ6VDOXBGoPgAAfzEXOO5ebC2+/DQUF5VsD\nvsCmTT5VMCciIpJ6FMwlgYyM8HZkzVyknBw4/HA46qgVlJTUnEtu40aftmkT3XyKiIhI7CmYSwJm\nfuJgYGugVjuYa93ap9nZ1ThXcx3Xb77xab9+0c+riIiIxJaCuSTx8ss+LS31gVrtVRz23tun2dm+\nw1xksDdtGmRmwp57xiCjIiIiElMK5pJEUPP2xRfh+eQiHXigT+sK5j77zAd7mZlRzqSIiIjEXMIF\nc2bWxszuNbNFZlZmZh+a2fCI82Zmt5jZstD5QjNL+Tqntm19M+n998OAAf5YEOA9+ih07uy3awdz\nzsHnn8PQoTHOsIiIiMREwgVzwN+Bo4Fzgb2AN4G3zKxH6Py1wC+Ay4HhwCrgv2aW0t37W7WCuXPh\npZfCxw45xB8fOzZ8LD/fL966erXfnz/fD4BQMCciIpKaEiqYM7Mc4BTgeudcoXNunnPuFmAecImZ\nGXAl8Dvn3AvOuZn4oK8NcFa88h0rrVrBmDHh/Usu8RMGd+wYPtanj6+SmznT73/2mU8VzImIiKSm\nhArm8JMYpwPltY6XAYcA/YCu+No6AJxzZcD/gINilMe4ipxAuE0b2HXXmuc7ddpCu3bw1Vd+/7PP\nNPhBREQklZmrPSwyzszsQ6AKOANYAZwJPIavnfspMAXo45z7PuKeR4Aezrmj63jeeGA8QEFBwdBn\nn3026mWIttGjRwHwz39+ROfOm2ucKy4u5le/OoTqauO++77g6qv3pqwsnQcf/DwOOW1+xcXF5OXl\nxTsbUZPq5YPUL2Oqlw9UxmSXymULpEoZR48e/ZlzbtiOrkvEYK4/8AgwEh/UfQ7MBfYDLsAHc72d\nc4sj7nkU6OacO2Z7zx42bJibNm1atLIeM2Y+retbV1hYyHPPjeKpp2DdOujQAc48Ex58MLZ5jJbC\nwkJGjRoV72xETaqXD1K/jKlePlAZk10qly2QKmU0swYFcwm3Nqtzbj5wmJm1BvKdc8vNbDKwEF9T\nB76pdXHEbV2AlbHNafy8+27NpbxqGzzYD3qYPt2nu+8eu7yJiIhIbCVcMBdwzpUAJWbWHj+69VrC\nAd0Y4FMAM8sGDgWuiVNWY25Hf2zstZdPp071qdZkFRERSV0JF8yZ2dH4gRlzgAHA3cA3wKPOOWdm\n9wK/MrM5+ObXG4Fi4Ok4ZTnhBIMd3nvPpynQbUBERETqkXDBHNAWuBPoCawDXgB+5ZyrCJ3/PZAD\n3A+0Bz4GjnLOFcUhrwmpfXvftDp5st9XMCciIpK6Ei6Yc879E/jnds474JbQl9TjqafCc8spmBMR\nEUldiTbPnDST/fYLb7dJ6bUxREREWjYFcy2AauZERERSl4K5FkDBnIiISOpSMNcCKJiO54cMAAAU\nK0lEQVQTERFJXQrmUliwjmtubnzzISIiItGTcKNZpfl8/jn873+QppBdREQkZSmYS2GDBvkvERER\nSV2qsxERERFJYgrmRERERJKYgjkRERGRJKZgTkRERCSJKZgTERERSWIK5kRERESSmII5ERERkSSm\nYE5EREQkiSmYExEREUliCuZEREREkpiCOREREZEkpmBOREREJIkpmBMRERFJYgrmRERERJKYgjkR\nERGRJKZgTkRERCSJmXMu3nmIGTNbDSyKdz6irBOwJt6ZiCKVL/mlehlTvXygMia7VC5bIFXK2Mc5\n13lHF7WoYK4lMLNpzrlh8c5HtKh8yS/Vy5jq5QOVMdmlctkCLaGMkdTMKiIiIpLEFMyJiIiIJDEF\nc6nn4XhnIMpUvuSX6mVM9fKBypjsUrlsgZZQxq3UZ05EREQkialmTkRERCSJKZgTERERSWIK5kRE\nRESSmII5SRhm1ibeeRDZHjPraGYW73yIbI8+S1seBXNJwMw6m1l/M2sf77xEg5n1M7P/A643s4J4\n5ycazKyHmR1uZrvGOy/RYmYFZraPmXWPd16aW+hn9CXgt0D/eOcnGsysl5mdamb7mVlG6FhKBa76\nLE1uLeFztLEUzCUw8/4MTANeAL4ws1FmlvTft+CXhJldCcwAKoH/AhXxzFc0mNndwLfA3cBXZnaT\nmXULnUuJX5Zmdi8wHXgEmGVmPzaz3Dhnq0kifkYvAr4EyoEngE3xzFc0mNkdwFzgl8CHwINmtotz\nzqXCz6g+S5NfS/gcbYpW8c6A1M3MBgMPABnAj/Hfq58DDwGjgBVxy1wzCP2SaA8cD1zqnHs83nmK\nBjM7DjgWOAEf7JwPnAYMBk53ST43UOgv5PuBNsDJ+EDncuBm/AfvJ/HLXdOEfkazgFOBa51zEwHM\nLDO+OWteZnYAcBK+nG8DpwMX4gPXg1PgZ1SfpUku1T9Hm4OCucQ1BigCLnLOLQEws0+B9UAfkvwD\nKOQsoLNz7nEzOwS4GP/X5BfAy865hWaW5pyrjmsum+ZkoNQ599/Q/u/MbCnwgJmd7pybbGbpzrmq\nOOZxp5iZRXx4HgiUAFc45+aEjl1kZhuBHS4OnWhqlQ38L8jezrmJoZ/RK4F0M/samOycm54CP6Mn\nAq2cc6+G9h8zswXA62Z2lXPuT3X8f0km+ixN/s/SlPscbW5JX8WcKswsy8zSIw69Cvwl+PAJ6QYs\nAZLuB7aO8gFsBlaZ2VnAY8Aa/M/kRcBTAMn04RPR3JEWsb8JX8aMiEtfA54DfgeQTB9AZpYDRNZM\nfYD/OZ0TOm9m1g5YCiTVL/86ygZQBjgzOxWYCCwA5gNHAq+aWW6S/oxG/ltcDWyp1Sz+IXAPcJOZ\nZSVTIKfP0uT+LG0Jn6PRoGAuAZjZ7cB/gH+a2Qlm1to5N9c595/Q+eAfbk8gH1gUp6w2Sl3lC53K\nB3KBM4H7nXNXOufOBX4G9DazG0L3J/zPqZldAVwG/kMzoiZjA9ALGBJc65xbCzyJDxLOD92f8H0+\nzOxOfPD2ipldYWZtnXMLnXPvhs6nhcrcE1/muXHM7k6po2z5oVPZwEr8z+RLzrlrnXO/BH6E/wV6\nR+j+ZPgZvZaIX3wRP3Mb8GU5Krg29IvxcXwwe2Xo/mT4GdVnaRJ/lraEz9FoSehvbKozszwzewPf\nD+ApoC3+l8O9ofPBD2bwV/ERwKfOudXJ8EO7nfLdF7pkEjAQ+AHwecStH+P/4hphZpmJ/BelmR1o\nZh/gv2enmdm+oVNBF4a/ArsAx9eq+ZgBLAR6gO/3EqMs7zQzyzSz5/BNjr/HN0v9jNBf/BGCMowE\nZjvn5iX6z+l2yvZs6JL/AHn4vlUfh+4x59x3wIPAMWaWk+A/o8PN7B3gduAkMxsVOhX8jD4f2j7W\nzLpG3LoE34dut1ATViL/jOqzNIk/S1vC52i0KZiLr72AAcC5zrm/4f8y/gPwUzP7UfCDGfEP8ED8\nL5eg0+vBZjYiDvluqPrK9xMz+7Fzbh3+FwzA1nI458rx/3BLnHNbEvXDNlTlfzzwHXAJkI7vu4Jz\nrsLMMkJlvBvf3HFYcK9zbg2+dqA1ia8/sC/wC+fcZOfcOfg+OUeY2S+D70/EB+n+wDvBMTMbbWZj\n45HxBtiFuss2ysyud84VAX/k/9s79xi7ijqOf37ttpaH0EKxgqEgYKEtWqyGgCIiT6WgRuWhASUY\nI0aFCBW0KsUHQU2NhKixCLYkQE1FIQiIKW9ofABqUqHBFJRCMaUUECoUWvrzj98c9nB7d9lt791z\n5tzvJ5nsnplzb+fTe+7snDm/mYlOwLHwGs+9ic/+lbpeo4ljiPiw04jR0mLko7hGnyM6ph8gJkKQ\nytcTjpsyeISltjTTtrSH2tHu4u5KFSXgg8TjjW1KedsSDetKYGwpf3LKm0Hcgd1KLJVwTNUeW+j3\nOGAp727gfuIRwRuIhuse4NNVOwzB8QDgwPT7vFTvD6XjvtJ5S4HbiRmDY4D3EstdHF61wxAcZwKb\ngInpuPjcvgGsBd5WOndH4CEipmyfdJ2+BJxYtccWuD0LvDUdLyTi5b4MTASmAncCZ1ftMIhb4TIZ\neE/6/YtEUPxpba7RK4mRjjOA8cC7iFGek6p2GYKr2lLPty3thXa06/+HVVeglxMxJP4A8ImW/H3T\nH8mzS3nHEY+ALiPWEVoEvLFqh630Oy8dzySWCdgE3AW8AFwKjKnaYZi+U4E7gAXADilvbPp5QPrs\nNqWGan1qiPuqqu8wvGakz/GsdFz84RhH3E3PK517CNEJ+lUO1+kQ3C5Ox/sQy628DNwLrEuf59gq\n6r0VvpOBq9MfxJ1TXnGNvhX4Tvrc7k/fw8ty+B6qLW1OW9rUdrTr/29VV6AXU+kPxiTizvfHwPhS\n+TbAJcQaXaNT3o/SBbwEeGfVDh3yu7fwS/kHEndcU6t22Arnc9Ln9tk254wm7iRPAaZVXeeWum0/\nSNl44Foitmq3wiX9PJeYuToqHZ+ZrtNb6nKdbqXbE4VbytuXGHWcUrXXUB1L5xTX6EnpGp07wHnT\nU+dhv6q9huGktrQBbWnu7WiVSTFzXcLMppjZxWZ2UJvi0QDuvpr4IzKLCMgl5b9ITMVeTyzGCrHo\n5QnufpS7/62rlR8CHfJ7EdiuFHP1F3e/xt2Xd11gCAzmaGatazQWs+R+Sdz1H29me6Rzp0PMEHT3\npe5+pbs/2M26D5XkeAcwNx2PLpX1Abj7s8D1xCOpk1NeEUP1DDESt2c6vg44zt2PrPo67ZDbM8Du\npWv0IXe/xd1rMVN3KI4lirIbgT8Bs4pr08xmpp+j3P0Bd7/R+9cNrBSLLZymmdnEdFyO+2pCW9oJ\nv9q2pYP5NaUdrQPqzHUYMxtlZpcQsSe7ABPKZQDuvtHMxpnZkcBFwH+A00szeCBij55Of2xw94fd\n/Tcj5TEQXfB7ztPtVl0YhuMYMzuudDzK3Z8hZptNIvZHvIVYfHWHzf6hCkmzOK8gHt0cRMxAxWPJ\nitbP8WR3X0A8ejvZzI4ovdVbgCfd/ZH0mpXuftOIyrTQBbdHa3iNDtVxjJl9pnRs7r4O+C3RCbjQ\nzG4F7jOzCV6j2Y6p7vOJLbgWEVtw7e/uXnRaM29LO+1Xq7Z0GH7ZtqO1ouqhwaYl4FQiCPWQQc45\nC3gauDwdH0bMrFoLXEBsj/QMNQw8brrfFjjOpyXehohLWkU8yllMrMxeuVepfnOIXRvuJEakzieW\nMJjQct6Z6TO7Lh2/nWhgNyTv+USH4POp3ORWS8dr2pRNJjqCm4gYuklVe7XUbyfiMehtxESMg0nr\nALZxzK6tkd9mftm1o3VLlVegSYkYIl4CXJCO35ca3hOAN6W8rxNby3yK18biTCRWXF+cvgAHV+3T\na35b6Ggtrz8+NT73AjOr9mnjd0yq24mlvE8Qgf07lvK+QMzebP0cDfga8AvgBtIsyTqkJrttpWPr\nNXp4un7/DryraqdBPB8CZpTyvk5soVYcnw/8N8e2Rn6b+WXVjtYxVV6B3FP5IiSGhJcD7wa+TTzz\n/z0xNP5P4g7FGDwgu1azjpru12nH9PrPVe3Upl7FBIVt25QdTizVMKuU1wdsN9D/U51Sk9066Vgq\n2xn4ZNVObepV/h5+hNhqa3I63oVYUmUeqSObHAechVq3tkZ+Q/erazta56SYuS3EzI5Kv776f+gR\npOrAV4lp/h8kFuHci7gTPg/Y3SNmpS3uvqFbdR4OTfeDzjumeKTVHot61oKSYxEY/UKb01YR2wGN\nTq8Z5e4b3f1/5ZM8tbJ1ocluBZ10TGXm7mvdfVG36jxc2n0PiTCHB4CbzewGYlbxWiKOcYGZXUY8\nGn5+oPetS1sjv+H51bEdzYKqe5O5JWKNoieIIeDpKa+Y8j6GiGNYD/yR2AaouKM+ipj1N71qh172\nk+Nm5xVLATwIfL+cV9fUZDc5vmaB2J3oX7j4jFL++4l4xto9Bpdfc/xySxqZGwZmNguYTSy/sJRY\nnBFPSxl43CndBawANnqM3hR3/PcDY4E9RrjaQ6bpfiDH1nPd3dMMsceBXS32b6zlKBU0262gxx03\nFud4bOE0ntiqaaH1bxJ/H/E9nDKSdR4O8svbL0fUmRsCpXVxHiMCTn8IfA84yMxOSOeMTecsJVao\nfq+ZnU7/nnHHE3coS0eq3kOl6X4gx5JjX+trPPbmXEvEt7xcanRrQ5PdCuTY1nEjEW+1m/cvm/Ix\nYiTynhGp9DCQX95+WVP10GCdE7E1yo4teX3p5w7A5cCqUlnxqG47YtPjZ4kLdjExrDw7ldfiMUjT\n/eQ4oGM5ULl4hPwlYomDWk3/b7KbHAd1LLymExOQVhPhDwvSd3JO1U7ya45fE1LlFahjAj5O3Hms\nAB4lZjVOSmVWNKZEPMAa+pex6Gt5nw8TSx1cAuxbtVev+MnxdR3bxV7NJkYjX3dbKLnJcQQcx5Te\nYw9iR4BriD1/a7OVmvzy9mtSqrwCdUvEkhTLiUVhZxB3vGuJLWAmpHOKO5JxwDeJNZ6KsjdQ4823\nm+4nx2E5lvdy3KyDIDc5Vuw4rlRuwDZVO8mvOX5NS5VXoC6J/juMM4hg4h1KZWcSm/5+s83r9iK2\nfboamArcxCA7B8hPjjVx/H3dHJvsJsfmOMovb7+mptoGyo40nq5GYm2xFfTPYISIB/grcKyZTQNe\n3dDaY0/KBcQm3cvS+feNRJ2HQ9P9QI4Mz9GpmWOT3QrkmL+j/PL2ayxV9yarSsDRxL525wKHlvI/\nTKwxNiUdF4GcxxDrjn2ldO42xJ3KBuB2arT+WNP95Ji/Y5Pd5NgcR/nl7dcrqfIKjLgw7ApcT8yu\nuYK4y1iXLmgjYlGWA79I55f3xFsK/Kx0vCcR1Hlq1V694ifH/B2b7CbH5jjKL2+/XkuVV2BEZWFb\nYCExo2avUv6dwK/T76OAU4l95Q5tef3VwG1Ve/Sqnxzzd2yymxyb4yi/vP16MfVUzJzHvoYvA1e4\n+yOlRWJvAPZLexpuItYUuw641MyOsODNwD7AVZVUfgg03Q/kSOaOTXYrkGP+jvLL268XKWat9Axm\nNsbTBsVp9XQ3s8uJdXE+XcobR8zG2R/4G7H44UrgRHd/rDKB16HpfiDH3B2b7FYgx/wd5Ze3X6/R\nc525dpjZbcBid/+5mRkRG/CKmU0C3kGst/Oou19daUW3kKb7gRzJ3LHJbgVyzN9Rfnn7NZme78yZ\n2Z7An4GPuPufUt44d19fZb06RdP9QI5V1qsTNNmtQI75Iz9RZ3oqZq5MuusAOAR4oXTxfgtYZGb7\nVFa5DtB0P5AjmTs22a1Ajvk7yi9vv16hr+oKVIX3D0keCPzGzI4G5hNbkJzm7isqq1wHaLofyJHM\nHZvsViDH/B3ll7dfr9DTj1lTYOcyYG9iZs9cd/9BtbXqHE33AznmTpPdCuSYP/ITdaenO3MAZrYE\n+CdwThNjA5ruB3LMnSa7Fcgxf+Qn6ow6c2aj3f2VquvRLZruB3LMnSa7Fcgxf+Qn6kzPd+aEEEII\nIXKmZ2ezCiGEEEI0AXXmhBBCCCEyRp05IYQQQoiMUWdOCCGEECJj1JkTQgghhMgYdeaEEGIQzOwG\nM1tYdT2EEGIg1JkTQogOYWaHmZmb2cSq6yKE6B3UmRNCCCGEyBh15oQQImFm25rZQjNbZ2arzWxO\nS/kpZnavmT1vZk+a2a/N7C2pbE/g9nTqmjRCtzCVmZmda2YPm9mLZrbMzE4ZQTUhRINRZ04IIfqZ\nBxwFfBw4AngncGipfCwwF5gBHAdMBBalssfS6wCmA7sCZ6Xj7wGfBb4ITAMuAuab2axuiQghegdt\n5yWEEICZbQ+sBU5396tKeY8D17n7aW1esx+wHNjd3R83s8OI0bld3P2pdM52wFPA0e5+d+m1FwNT\n3P3YrooJIRpPX9UVEEKImrA3MfL2xyLD3deZ2bLi2MxmEiNzBwA7AZaKJhOdvnZMA8YBN5tZ+e55\nDPDvTlVeCNG7qDMnhBCBDVoYI2x/AG4BTgWeJB6z3k10AgeiCGc5HljZUrZhi2oqhBAl1JkTQohg\nBdG5Ogh4BF7twO0PPAzsR3Te5rj7v1L5x1re4+X0c3Qp70HgJWAPd7+ta7UXQvQs6swJIQSvPlK9\nHPiBma0BngDOp79jtpLolH3JzH4KTAW+2/I2jwIOzDKz3wEvuvvzZjYPmGdmBtwFbE90Gje5+6Xd\ndhNCNBvNZhVCiH5mExMYrk0//0F0vnD3NcBngI8So21zgbPLL3b3VSn/QmA18JNU9C3ggvT+DwBL\niJmv/+qmjBCiN9BsViGEEEKIjNHInBBCCCFExqgzJ4QQQgiRMerMCSGEEEJkjDpzQgghhBAZo86c\nEEIIIUTGqDMnhBBCCJEx6swJIYQQQmSMOnNCCCGEEBnzf3iWKj0rI14tAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1a1ae27b38>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot adjusted close over time\n",
    "rcParams['figure.figsize'] = 10, 8 # width 10, height 8\n",
    "\n",
    "ax = train.plot(x='date', y='adj_close', style='b-', grid=True)\n",
    "ax = cv.plot(x='date', y='adj_close', style='y-', grid=True, ax=ax)\n",
    "ax = test.plot(x='date', y='adj_close', style='g-', grid=True, ax=ax)\n",
    "ax = cv.plot(x='date', y='est_N1', style='r-', grid=True, ax=ax)\n",
    "ax = cv.plot(x='date', y='est_N2', style='m-', grid=True, ax=ax)\n",
    "ax.legend(['train', 'validation', 'test', 'predictions with N=1', 'predictions with N=2'])\n",
    "ax.set_xlabel(\"date\")\n",
    "ax.set_ylabel(\"USD\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.text.Text at 0x1a1b10e048>"
      ]
     },
     "execution_count": 43,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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fXicNA/nU5xQB5BHIKQLLfV+Ely2lAv6FIo+sNVmAYlfDKdRf2pj6rpl4dfNi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7AEBUXRs+fJ9Op1NgkJJxIcHElh4Zf7HsjBjma8N95wJgV+803o0QNuvhmA4k+LyZtqiRgaRNUV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\nAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1a1a758d30>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot adjusted close over time\n",
    "rcParams['figure.figsize'] = 10, 8 # width 10, height 8\n",
    "\n",
    "ax = train.plot(x='date', y='adj_close', style='bx-', grid=True)\n",
    "ax = cv.plot(x='date', y='adj_close', style='yx-', grid=True, ax=ax)\n",
    "ax = test.plot(x='date', y='adj_close', style='gx-', grid=True, ax=ax)\n",
    "ax = cv.plot(x='date', y='est_N1', style='rx-', grid=True, ax=ax)\n",
    "ax = cv.plot(x='date', y='est_N2', style='mx-', grid=True, ax=ax)\n",
    "ax.legend(['train', 'validation', 'test', 'predictions with N=1', 'predictions with N=2'])\n",
    "ax.set_xlabel(\"date\")\n",
    "ax.set_ylabel(\"USD\")\n",
    "ax.set_xlim([date(2017, 11, 1), date(2017, 12, 30)])\n",
    "ax.set_ylim([127, 137])\n",
    "ax.set_title('Zoom in to dev set')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Final Model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "RMSE = 1.270\n",
      "MAPE = 0.640%\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/yibin/anaconda3/lib/python3.6/site-packages/ipykernel_launcher.py:21: RuntimeWarning: invalid value encountered in less\n",
      "/Users/yibin/anaconda3/lib/python3.6/site-packages/ipykernel_launcher.py:2: SettingWithCopyWarning: \n",
      "A value is trying to be set on a copy of a slice from a DataFrame.\n",
      "Try using .loc[row_indexer,col_indexer] = value instead\n",
      "\n",
      "See the caveats in the documentation: http://pandas.pydata.org/pandas-docs/stable/indexing.html#indexing-view-versus-copy\n",
      "  \n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>date</th>\n",
       "      <th>open</th>\n",
       "      <th>high</th>\n",
       "      <th>low</th>\n",
       "      <th>close</th>\n",
       "      <th>adj_close</th>\n",
       "      <th>volume</th>\n",
       "      <th>month</th>\n",
       "      <th>est_N2</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>604</th>\n",
       "      <td>2018-04-23</td>\n",
       "      <td>137.779999</td>\n",
       "      <td>138.160004</td>\n",
       "      <td>136.809998</td>\n",
       "      <td>137.449997</td>\n",
       "      <td>136.219604</td>\n",
       "      <td>2033700</td>\n",
       "      <td>4</td>\n",
       "      <td>136.814232</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>605</th>\n",
       "      <td>2018-04-24</td>\n",
       "      <td>138.100006</td>\n",
       "      <td>138.190002</td>\n",
       "      <td>134.860001</td>\n",
       "      <td>135.800003</td>\n",
       "      <td>134.584366</td>\n",
       "      <td>3053500</td>\n",
       "      <td>4</td>\n",
       "      <td>136.244377</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>606</th>\n",
       "      <td>2018-04-25</td>\n",
       "      <td>135.770004</td>\n",
       "      <td>136.250000</td>\n",
       "      <td>134.610001</td>\n",
       "      <td>135.949997</td>\n",
       "      <td>134.733032</td>\n",
       "      <td>2275400</td>\n",
       "      <td>4</td>\n",
       "      <td>135.401985</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>607</th>\n",
       "      <td>2018-04-26</td>\n",
       "      <td>136.520004</td>\n",
       "      <td>137.679993</td>\n",
       "      <td>136.250000</td>\n",
       "      <td>137.240005</td>\n",
       "      <td>136.011490</td>\n",
       "      <td>1284600</td>\n",
       "      <td>4</td>\n",
       "      <td>134.658699</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>608</th>\n",
       "      <td>2018-04-27</td>\n",
       "      <td>137.539993</td>\n",
       "      <td>137.740005</td>\n",
       "      <td>136.800003</td>\n",
       "      <td>137.330002</td>\n",
       "      <td>136.100677</td>\n",
       "      <td>1133600</td>\n",
       "      <td>4</td>\n",
       "      <td>135.372261</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "          date        open        high         low       close   adj_close  \\\n",
       "604 2018-04-23  137.779999  138.160004  136.809998  137.449997  136.219604   \n",
       "605 2018-04-24  138.100006  138.190002  134.860001  135.800003  134.584366   \n",
       "606 2018-04-25  135.770004  136.250000  134.610001  135.949997  134.733032   \n",
       "607 2018-04-26  136.520004  137.679993  136.250000  137.240005  136.011490   \n",
       "608 2018-04-27  137.539993  137.740005  136.800003  137.330002  136.100677   \n",
       "\n",
       "      volume  month      est_N2  \n",
       "604  2033700      4  136.814232  \n",
       "605  3053500      4  136.244377  \n",
       "606  2275400      4  135.401985  \n",
       "607  1284600      4  134.658699  \n",
       "608  1133600      4  135.372261  "
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "est_list = get_preds_mov_avg(df, 'adj_close', N_opt, 0, num_train+num_cv)\n",
    "test['est' + '_N' + str(N_opt)] = est_list\n",
    "print(\"RMSE = %0.3f\" % math.sqrt(mean_squared_error(est_list, test['adj_close'])))\n",
    "print(\"MAPE = %0.3f%%\" % get_mape(test['adj_close'], est_list))\n",
    "test.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.text.Text at 0x1a1b077f98>"
      ]
     },
     "execution_count": 44,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
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2bUKn05GRkRE4l5qaSsuWLYPS/fDDD1xyySW0bt2a6OhorrrqKhwOBwcPHqx1PfzPGjhw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\nYU6SJKnHDHOSJEk99hNiymaQMZCw3gAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1a1b099828>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot adjusted close over time\n",
    "rcParams['figure.figsize'] = 10, 8 # width 10, height 8\n",
    "\n",
    "ax = train.plot(x='date', y='adj_close', style='b-', grid=True)\n",
    "ax = cv.plot(x='date', y='adj_close', style='y-', grid=True, ax=ax)\n",
    "ax = test.plot(x='date', y='adj_close', style='g-', grid=True, ax=ax)\n",
    "ax = test.plot(x='date', y='est_N2', style='r-', grid=True, ax=ax)\n",
    "ax.legend(['train', 'validation', 'test', 'predictions with N_opt=2'])\n",
    "ax.set_xlabel(\"date\")\n",
    "ax.set_ylabel(\"USD\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.text.Text at 0x1a1a77d278>"
      ]
     },
     "execution_count": 45,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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UUkople+0m7WIq1mz5gVThfTt2/eCdFWqVGHJkiUuxwYPHuyyHxsb67KfkJBwQT5Z0yil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\n5QohGrDqa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HjdG+VlQbVp1Dt48iAt3VuWDyN2ycyst3o5UAHd/b1UgFqTQe/VNkFIzVzj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\nmZmZmdXY/wHkULy26FqMUgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1a1b26a320>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot adjusted close over time\n",
    "rcParams['figure.figsize'] = 10, 8 # width 10, height 8\n",
    "\n",
    "ax = train.plot(x='date', y='adj_close', style='bx-', grid=True)\n",
    "ax = cv.plot(x='date', y='adj_close', style='yx-', grid=True, ax=ax)\n",
    "ax = test.plot(x='date', y='adj_close', style='gx-', grid=True, ax=ax)\n",
    "ax = test.plot(x='date', y='est_N2', style='rx-', grid=True, ax=ax)\n",
    "ax.legend(['train', 'validation', 'test', 'predictions with N_opt=2'])\n",
    "ax.set_xlabel(\"date\")\n",
    "ax.set_ylabel(\"USD\")\n",
    "ax.set_xlim([date(2018, 4, 23), date(2018, 11, 23)])\n",
    "ax.set_ylim([130, 155])\n",
    "ax.set_title('Zoom in to test set')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(130, 155)"
      ]
     },
     "execution_count": 46,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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0V15uv8i7kQAkXk4kJCSEYvv28XpyMgDn2rfnnKLA/mMMfG0gX//9NW/99Ba+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\nzMxazI05MzMzsxb7H7I/dDbmebxiAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1a1abcb160>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot adjusted close over time, only for test set\n",
    "rcParams['figure.figsize'] = 10, 8 # width 10, height 8\n",
    "matplotlib.rcParams.update({'font.size': 14})\n",
    "\n",
    "ax = test.plot(x='date', y='adj_close', style='gx-', grid=True)\n",
    "ax = test.plot(x='date', y='est_N2', style='rx-', grid=True, ax=ax)\n",
    "ax.legend(['test', 'predictions using moving average'], loc='upper left')\n",
    "ax.set_xlabel(\"date\")\n",
    "ax.set_ylabel(\"USD\")\n",
    "ax.set_xlim([date(2018, 4, 23), date(2018, 11, 23)])\n",
    "ax.set_ylim([130, 155])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# Save as csv\n",
    "test_mov_avg = test\n",
    "test_mov_avg.to_csv(\"./out/test_mov_avg.csv\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Findings\n",
    "* On the dev set, the lowest RMSE is 1.2 which is achieved using N=1, ie. using value on day t-1 to predict value on day t\n",
    "* On the dev set, the next lowest RMSE is 1.33 which is achieved using N=2, ie. using values from days t-2 to t-1 to predict value on day t\n",
    "* We will use N_opt=2 in this work since our aim here is to use moving average\n",
    "* On the test set, the RMSE is 1.27 and MAPE is 0.64% using N_opt=2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
